All Questions ⁺⁰238328 Questions

Sep 8, 2026

Sep 7, 2026

0

1

1

+1867

Geometry

In the diagram below, ABCD is a square with side length 1, and the area of triangle CEF is 1/2. Compute the area of triangle AEF.

ABJeIIy Sep 7, 2026

Sep 5, 2026

Sep 4, 2026

0

1

3

+834

Geometry

The area of square ABCD is 36. E is a point on \overline{CD} such that CE=2ED. F is the intersection of AB and CD. Find [DEF].

maximum Sep 4, 2026

0

1

1

+834

Geometry

In \triangle ABC, shown here, \overline{AB} and \overline{AC} have each been divided into four congruent segments. What fraction of triangle ABC is shaded? Express your answer as a common fraction.

maximum Sep 4, 2026

0

1

1

+834

Geometry

In the diagram, BD = 2 \cdot CD and CF = FB. Find the length AE.

maximum Sep 4, 2026

0

1

1

+834

Geometry

In the diagram, \triangle ABC \cong \triangle BFA. Find \frac{AB}{BC}.

maximum Sep 4, 2026

0

1

1

+1042

Geometry

In the diagram below, we have DE = 3 \cdot EC and AB = DC = 20. Find the length FG.

gnistory Sep 4, 2026

0

1

1

+1042

Geometry

Triangles ADE, CDE, and BCE are all equilateral triangles with area 1, and H is the midpoint of \overline{BC}. Find the area of the blue region.

gnistory Sep 4, 2026

0

1

1

+1042

Geometry

Right triangle ABC has side lengths AB=1, BC = 3, and AC = \sqrt{10}. Square XYZW is inscribed in triangle ABC with X and Y on \overline{BC}, W on \overline{AC}, and Z on \overline{AB}. What is the area of the square?

gnistory Sep 4, 2026

0

1

1

+1042

Geometry

We know \angle B=\angle C, BE=5, and AB=8. If [ACB]=80, what is [CED]?

gnistory Sep 4, 2026

0

1

1

+1349

Geometry

Right triangles ABC, ADE, EFG, and GHC are all similar. Also, [ADE] = 1, [EFG] = 4, and [GHC] = 9. Find the area of the red region.

AnswerscorrectIy Sep 4, 2026

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