Question

A square consist a triangle whose sides are given then find the sides of square

Answer 1

Answer:

Step-by-step explanation:

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Let AB=x. Then the area of trapezoid QABR=x(21+x)2. The area of triangle ABP=x(8−x)2. The sum of these is the area of the whole triangle, which you have already calculated. Solve for x.

EDIT: More simply, note that since the little triangle ABP is similar to the whole triangle, it's base, AB=21(8−x)8. So set this equal to x and solve.

Answer 2

Step-by-step explanation:

Let AB=x. Then the area of trapezoid QABR=x(21+x)2. The area of triangle ABP=x(8−x)2. The sum of these is the area of the whole triangle, which you have already calculated. Solve for x.

EDIT: More simply, note that since the little triangle ABP is similar to the whole triangle, it's base, AB=21(8−x)8. So set this equal to x and solve.