Direct application.
a^2 + b^2 = c^2, with values plugged in and the arithmetic shown.
Theorem
LMS Integration
Uni & Course Analysis
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Pythagoras Equation Solver
a squared plus b squared equals c squared.
Type or photograph the two known sides of a right triangle. AskSia applies a^2 + b^2 = c^2 (or its rearrangement) to find the third side with every arithmetic step shown.
Works with word problems, equations, code, and science prompts.
∫ 3x² · sin(x) dx
SubjectsCalculusAlgebraPhysicsChemistryBiologyCSStatisticsEcon
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asksia.ai/solver
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Problem
Find the area enclosed between y = x² and y = 2x in the first quadrant.
1
Find the points of intersection
Set the curves equal: x² = 2x → x(x - 2) = 0, so x = 0 and x = 2.
2
Identify which curve is on top
On (0, 2), 2x > x², so y = 2x is the upper curve.
3
Set up the area integral
A = ∫₀² (2x - x²) dx
4
Integrate term-by-term
A = [ x² - x³/3 ]₀²
Final Answer
A = 4/3 sq. units
Quick Answer
What is the Pythagorean equation?
The Pythagorean equation states that in a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides: a^2 + b^2 = c^2, where c is the hypotenuse (the side opposite the right angle). To find a missing side, rearrange: if you know c and one leg, then the other leg is sqrt(c^2 - a^2). If you know both legs, the hypotenuse is sqrt(a^2 + b^2). The result is exact (often involving a radical) or decimal.
98%
solution accuracy
50M+
problems solved
~1.5s
avg solve time
A+
study-ready explanations
Why AskSia Solver
Why students use AskSia for Pythagoras Equation.
Every step transparent, every answer self-checked.
Rearranged form.
If c and one leg are known, AskSia rearranges to find the missing leg.
Algebra
Exact and decimal.
Answer in radical form for exactness, plus a decimal approximation.
Both forms
Pythagorean triples flagged.
Common triples like 3-4-5, 5-12-13, 8-15-17, 7-24-25 get recognized.
Patterns
Photo, paste, or type.
Snap handwritten or printed problems with your phone, paste from any online homework portal, or type with full LaTeX support.
Multi-modal input
Verified by AskSia.
Every answer gets a self-check pass. Sia catches sign errors and algebra mistakes before you submit your homework.
Self-checked
How It Works
Solve any Pythagoras Equation problem in three steps.
Step 01
Enter the problem.
Type the expression, paste from your homework, snap a photo, or speak it. AskSia parses your input and identifies the structure.
Input mode
Snap a Photo
Textbook, handwriting, screenshot
Paste Text
Word problem or equation
Calculator
LaTeX-ready equation editor
Step 02
AskSia picks the method.
Based on the problem structure, AskSia chooses the cleanest solution path and labels each step with the operation performed.
1
Set curves equal
x² = 2x → x = 0, x = 2
2
Set up the integral
A = ∫₀² (2x - x²) dx
3
Evaluate
A = [x² - x³/3]₀² = 4/3
Step 03
Read the verified answer.
Final result appears with a substitution or composition check. Practice problems on the same concept are one tap away.
Auto-generated diagram
Region between y = 2x and y = x² — area = 4/3
Available On
Solve anywhere
you study.
Every solve syncs across Web, iOS, and Android — start it at your desk, finish on your phone.
Web App
Full study studio
Split-panel interface with the worked solution on the left, the auto-generated diagram and AI tutor chat on the right.
Drag & drop image upload + LaTeX equation editor
Auto-generated diagrams render alongside steps
Side-panel AI tutor chat for hints and alt methods
Export to PDF, DOCX, Notion, or Google Docs
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Calculus
98% verified
1.4s
Step 4 of 4 · Evaluate
A = [x² - x³/3]₀² = 4/3
Mobile App
Snap & solve, anywhere
Open the camera, frame the problem, and the worked solution plus diagram appear in seconds.
One-tap snap-and-solve on iOS and Android
Pinch-to-zoom diagrams, swipe between steps
Auto-sync solves with your Web library
Offline review of saved solutions and flashcards
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98%
1.4s
Area between y=2x & y=x²
A = 4/3 sq. units ✓
Use Cases
What the Pythagoras Equation solver covers.
Find hypotenuse.
Given legs 3 and 4, hypotenuse is 5. AskSia shows 9 + 16 = 25, then square root.
Direct
Find a leg.
Given hypotenuse 13 and one leg 5, the other is 12.
Rearranged
Diagonal of a rectangle.
Rectangle with sides a and b has diagonal sqrt(a^2 + b^2).
Geometry
Distance formula.
Distance between two points uses Pythagoras on coordinate differences.
Distance
3D distance.
Extends to three dimensions: sqrt(a^2 + b^2 + c^2). AskSia handles 3D too.
3D
Verify your homework.
Paste your candidate answer and the original problem. AskSia walks the work, flags any divergent step, and tells you the correct final value.
Answer check
Compare
AskSia vs. ChatGPT,
Photomath & Symbolab.
General chatbots hallucinate. Photo solvers stop at math. AskSia is built for actual coursework with verified accuracy, visual learning, and every subject.
| Feature | AskSia Solver | ChatGPT | Photo Solvers |
|---|---|---|---|
| Solution accuracy | ✓ 98% | ~70-85%, hallucinations | ~90%, math only |
| Auto-generated diagrams | ✓ Every solve | Inconsistent / broken | Graphs only, math-only |
| Step-by-step explanations | ✓ Numbered + plain English | Inconsistent depth | ✓ Math steps |
| Subject coverage | ✓ Math, Physics, Chem, Bio, CS, Econ | ✓ Wide but unverified | Math only |
| Photo input | ✓ Handwriting + diagrams + code | Photos OK, weak on handwriting | ✓ Math photos only |
| Answer verification | ✓ Self-checked before display | No verification | Math engine only |
| Tutor follow-ups | ✓ Hints, alt methods, ELI5 | ✓ General chat | Not available |
| Practice and flashcards | ✓ One-tap from any solve | Manual prompting | Not available |
| Code debugging | ✓ Python, Java, C++, SQL... | ✓ Yes | Not available |
| Free to start | ✓ Daily solves, no card | Limited model access | Steps locked behind paywall |
FAQ
Frequently asked questions.
Why is c the hypotenuse in the formula?
The hypotenuse is the longest side of a right triangle, opposite the right angle. The Pythagorean theorem says the square of the hypotenuse equals the sum of squares of the other two sides (the legs). So c^2 = a^2 + b^2 always has c as the hypotenuse. If you label sides differently, just remember the longest one squared equals the sum of the other two squared.
Does the Pythagorean theorem work for all triangles?
No, only right triangles. For non-right triangles, the relationship a^2 + b^2 = c^2 does not hold. Instead, you use the Law of Cosines: c^2 = a^2 + b^2 - 2ab*cos(C), which reduces to the Pythagorean theorem when C = 90 degrees (since cos(90) = 0). AskSia uses the right tool for each triangle type.
What is a Pythagorean triple?
A Pythagorean triple is a set of three positive integers (a, b, c) such that a^2 + b^2 = c^2. The most famous is (3, 4, 5). Others include (5, 12, 13), (8, 15, 17), (7, 24, 25), and the infinite family generated by Euclid's formula. AskSia recognizes common triples and confirms them when the input matches.
Can I use the theorem in 3D?
Yes, by extension. The distance from the origin to a point (a, b, c) in 3D is sqrt(a^2 + b^2 + c^2). This comes from applying the 2D Pythagorean theorem twice: first to find the distance from the origin to the projection of the point onto the xy-plane, then to combine that with the z-coordinate.
How accurate is AskSia?
AskSia hits 98% accuracy on standard high school and college coursework, measurably higher than ChatGPT, Photomath, and Symbolab on the same problem sets. Accuracy comes from subject-specialized models, a symbolic verification pass that catches arithmetic errors, and a self-check step that re-derives the answer before showing it to you.
Can I get practice problems and flashcards?
Yes. After any solve, ask Sia to generate similar practice problems at SAT, ACT, AP, IB, or college difficulty, or build a flashcard set on the underlying concept in one tap. Useful for exam prep and spaced repetition before a quiz, midterm, or final.
How much does AskSia cost?
AskSia has a free plan that includes daily solves across all subjects. AskSia Pro and Super include unlimited solves, advanced subjects, the full AI tutor companion, exports, and priority response speed. See pricing for details.
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Join 2M+ students using AskSia to solve pythagoras equation problems step-by-step. Photo input, plain-English explanations, and a verification check on every solve.
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