Pythagorean theorem.
Two sides known? AskSia applies a^2 + b^2 = c^2 to find the third with the arithmetic shown.
Theorem
EN
Right Triangle Solver
Right triangles, every side and every angle.
Type or photograph any two known values (two sides, or a side and an angle). AskSia applies the Pythagorean theorem, trig ratios (sin, cos, tan), and inverse trig to find every remaining side and angle.
Works with word problems, equations, code, and science prompts.
∫ 3x² · sin(x) dx
SubjectsCalculusAlgebraPhysicsChemistryBiologyCSStatisticsEcon
4.9 / 5 · trusted by 2M+ students · 50M+ problems solved
asksia.ai/solver
98% · Verified
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
How do you solve a right triangle?
A right triangle has one 90-degree angle. The Pythagorean theorem says a^2 + b^2 = c^2, where c is the hypotenuse. The three trig ratios relate angles to sides: sin(angle) = opposite/hypotenuse, cos(angle) = adjacent/hypotenuse, tan(angle) = opposite/adjacent. Given any two pieces of information (two sides, or a side and an acute angle), you can find every remaining side and angle using one of these tools. The two acute angles sum to 90 degrees.
98%
solution accuracy
50M+
problems solved
~1.5s
avg solve time
A+
study-ready explanations
Why AskSia Solver
Why students use AskSia for Right Triangle.
Every step transparent, every answer self-checked.
Trig ratios.
Sin, cos, and tan applied based on which sides and angles are known.
Trig
Inverse trig for angles.
Two sides known? AskSia uses arcsin, arccos, or arctan to find angles.
Inverse trig
Angle sum.
Two acute angles sum to 90, so finding one immediately gives the other.
Constraint
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 Right Triangle 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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Calc
98%
1.4s
Area between y=2x & y=x²
A = 4/3 sq. units ✓
Use Cases
What the Right Triangle solver covers.
Two legs known.
a^2 + b^2 = c^2 gives hypotenuse. Inverse trig gives angles.
SSS
Hypotenuse and one leg.
Solve for the other leg with c^2 - a^2 = b^2.
SSS
One side and one angle.
Use sin, cos, or tan to find the missing sides.
SAS
Word problems.
Ladder against a wall, shadow lengths, line-of-sight angles.
Applied
Verify a Pythagorean triple.
Check 3-4-5, 5-12-13, 8-15-17, etc.
Verify
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.
Which trig ratio do I use when?
Pick based on which two sides are involved relative to the angle. Sin uses opposite and hypotenuse. Cos uses adjacent and hypotenuse. Tan uses opposite and adjacent. SOHCAHTOA is the mnemonic. AskSia picks the cleanest ratio for your specific known values.
Does AskSia work in degrees or radians?
Both. By default, AskSia uses degrees for triangle problems (standard in geometry) and radians for calculus problems. You can override the unit at any time. The unit is always labeled in the output.
What if I only have angle information?
A right triangle with only angle information has infinitely many possible sizes (similar triangles). You need at least one side length to fix the scale. AskSia notes this and asks for a side or returns ratios if you specify.
How accurate are the answers?
AskSia keeps arithmetic exact when possible (radicals for irrationals, fractions for rationals) and rounds to a stated precision otherwise. For Pythagorean triples like 3-4-5, answers are exact integers. For trig computations, answers can be exact symbolic or decimal-rounded, depending on the input.
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.
Start Today
Pythagorean theorem, trig, every angle and side.
Join 2M+ students using AskSia to solve right triangle problems step-by-step. Photo input, plain-English explanations, and a verification check on every solve.