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2015 AMC 10A Problem 19

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2015 AMC 10A Problem 19AMC 10 Step by Step

Name: Date: September 13, 2026

Triangles: Area & Pythagorean · difficulty 4 of 5 · about 6 min · position P16-20

The isosceles right triangle $ABC$ has right angle at $C$ and area $12.5$ . The rays trisecting $\angle ACB$ intersect $AB$ at $D$ and $E$ . What is the area of $\bigtriangleup CDE$ ?

A)
$\dfrac{5\sqrt{2}}{3}$
B)
$\dfrac{50\sqrt{3}-75}{4}$
C)
$\dfrac{15\sqrt{3}}{8}$
D)
$\dfrac{50-25\sqrt{3}}{2}$
E)
$\dfrac{25}{6}$

2015 AMC 10A Problem 19

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