Type identified.
Right, equilateral, isosceles, or scalene , AskSia identifies and uses the corresponding shortcut.
Type-aware
AI Solver by AskSia
Triangle Solver: every side, every angle
Type or photograph the known sides and angles. AskSia identifies the triangle type (right, equilateral, isosceles, scalene) and applies the right tool: Pythagorean theorem, law of sines, law of cosines, or basic angle sum to find every missing piece.
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 triangle?
Solving a triangle means finding all three sides and all three angles given some subset of them. For a right triangle, use the Pythagorean theorem and trig ratios. For a general triangle, use the law of sines (a/sin(A) = b/sin(B) = c/sin(C)) when you have an angle-side pair plus another piece, or the law of cosines (c^2 = a^2 + b^2 - 2ab*cos(C)) when you have three sides or two sides and the included angle. The three interior angles always sum to 180 degrees.
98%
solution accuracy
50M+
problems solved
~1.5s
avg solve time
A+
study-ready explanations
Why AskSia Solver
Why students use AskSia for Triangle.
Every step transparent, every answer self-checked.
Law of sines or cosines.
Picked based on which sides and angles are known, with the reasoning explained.
Method choice
Angle sum constraint.
Three angles sum to 180. AskSia uses this to find a third angle once two are known.
Constraint
Ambiguous SSA case.
Two solutions sometimes exist. AskSia checks and reports both when valid.
Careful
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 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 Triangle solver covers.
SSS (three sides).
Law of cosines to find each angle. AskSia does all three.
SSS
SAS (two sides, included angle).
Law of cosines for the third side, law of sines for remaining angles.
SAS
ASA (two angles, included side).
Find third angle by sum, law of sines for other sides.
ASA
AAS or SAA.
Same approach as ASA but with the side adjacent to one of the angles.
AAS
SSA (ambiguous).
Two solutions possible. AskSia checks and reports both if they exist.
SSA
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.
When do I use the law of sines versus the law of cosines?
Use the law of sines when you have an angle and its opposite side (an angle-side pair), plus one more piece (another angle or side). Use the law of cosines when you have three sides (SSS) or two sides and the included angle (SAS). AskSia picks the right one based on what you provide.
What is the ambiguous SSA case?
When you have two sides and an angle not between them, sometimes two different triangles satisfy the conditions, sometimes one, and sometimes none. AskSia checks the geometric possibility by comparing the opposite-side length to the height from the given angle, and reports all valid solutions (zero, one, or two).
Does AskSia handle obtuse triangles?
Yes. The law of cosines handles obtuse triangles directly, with cos(angle) becoming negative when the angle exceeds 90 degrees. AskSia keeps signs straight and reports angles in the correct range (0 to 180 degrees).
What if I only have angle information?
A 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 only want the shape.
How accurate is AskSia?
AskSia is engineered for accuracy on standard high school and college coursework. 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, sines, cosines, every triangle.
Join 2M+ students using AskSia to solve triangle problems step-by-step. Photo input, plain-English explanations, and a verification check on every solve.
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