SOLUTION: Triangle ABC is isosceles, with Line AB=AC, and Line BC=39 cm A square is inscribed in the triangle with edges 21 cm. Find the area of Triangle ADE Diagram: https://imgur.com/a/

Question 1188247: Triangle ABC is isosceles, with Line AB=AC, and Line BC=39 cm A square is inscribed in the triangle with edges 21 cm. Find the area of Triangle ADE
Diagram: https://imgur.com/a/1RtmfbC
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
Triangles ADE and ABC are similar, and the similarity coefficient is .
Let be the altitude of the triangle ADE; then the altitude of the triangle ABC is centimeters.
The ratio of altitudes is the same

It gives

Thus the height of the smaller triangle ADE is ; then the height of the larger triangle is
Now you know the base of the triangle ADE and its height of , t hen its area of the smaller triangle ADE is

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