Area formula.
(1/2)*(b1 + b2)*h. Average the bases, times the height.
Area
AI Solver by AskSia
Trapezoid Solver: every side, angle, and area
Type or photograph the trapezoid's known parts. AskSia handles area, perimeter, midsegment, height, and angle relationships for standard, right, and isosceles trapezoids.
Works with word problems, equations, code, and science prompts.
∫ 3x² · sin(x) dx
SubjectsCalculusAlgebraPhysicsChemistryBiologyCSStatisticsEcon
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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 a trapezoid and how do you solve it?
A trapezoid (American usage) is a quadrilateral with exactly one pair of parallel sides, called the bases. The two non-parallel sides are called the legs. The height is the perpendicular distance between the bases. Area = (1/2)*(b1 + b2)*h. The midsegment (connecting midpoints of the legs) has length (b1 + b2)/2. In an isosceles trapezoid, the legs are equal, base angles are equal, and the diagonals are equal. In a right trapezoid, two angles are 90 degrees.
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study-ready explanations
Why AskSia Solver
Why students use AskSia for Trapezoid.
Every step transparent, every answer self-checked.
Midsegment.
Connects midpoints of legs; length equals (b1 + b2)/2, parallel to bases.
Midsegment
Isosceles trapezoid.
Equal legs, equal base angles, equal diagonals.
Isosceles
Right trapezoid.
Two right angles, one leg perpendicular to both bases.
Right
Photo, paste, or type.
Snap handwritten or printed problems with your phone, paste from any online homework portal, or type with full LaTeX support.
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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 Trapezoid 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
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Split-panel interface with the worked solution on the left, the auto-generated diagram and AI tutor chat on the right.
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Calculus
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1.4s
Step 4 of 4 · Evaluate
A = [x² - x³/3]₀² = 4/3
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Area between y=2x & y=x²
A = 4/3 sq. units ✓
Use Cases
What the Trapezoid solver covers.
Area from bases and height.
Direct formula (1/2)*(b1 + b2)*h.
Area
Find height from area.
Rearrange to h = 2A/(b1 + b2).
Reverse
Find midsegment.
(b1 + b2)/2 directly.
Midsegment
Isosceles trapezoid angles.
Base angles equal in pairs. AskSia computes if one is given.
Isosceles
Right trapezoid leg.
Use Pythagoras if needed when one leg is slanted.
Right
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
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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.
How is a trapezoid different from a parallelogram?
A trapezoid has exactly one pair of parallel sides (American definition). A parallelogram has two pairs of parallel sides. So a parallelogram is not a trapezoid in American usage, but it is in British usage (inclusive definition where 'at least one pair' counts). AskSia uses the American definition by default.
What is the midsegment of a trapezoid?
The midsegment connects the midpoints of the two non-parallel legs. It is parallel to both bases and its length is the average of the two bases: (b1 + b2)/2. The midsegment is a useful construction in proofs and a quick way to find the average base length.
How do you find the height of an isosceles trapezoid?
If you know the two bases and the leg length, the height can be found by the Pythagorean theorem applied to a right triangle formed by dropping perpendiculars from the shorter base to the longer base. The horizontal leg of this triangle equals (b1 - b2)/2, and the hypotenuse equals the slanted leg length. AskSia performs this calculation explicitly.
Are the diagonals of an isosceles trapezoid equal?
Yes. In an isosceles trapezoid (where the two non-parallel sides have equal length), the two diagonals also have equal length. This is a defining property of isosceles trapezoids, similar to how the diagonals of a rectangle are equal. AskSia uses this property when solving for diagonal lengths.
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.
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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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Bases, legs, height, midsegment.
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