Question

A right triangle has sides A, B, and C. Side A is the hypotenuse and side B is also a side of a rectangle. Sides A, C, and the side of the rectangle adjacent to side B have lengths of `8`, `7`, and `7`, respectively. What is the rectangle's area?

Answer 1

`~~27.11" square units"`

Explanation:

`"the area of the rectangle = length " xx" breadth"`

`rArr"area " =7color(red)(B)larr" require to find "color(red)(B)`

`"to calculate "color(red)(B)" use "color(blue)"Pythagoras' theorem"`

`rArrB^2=A^2-C^2`

`rArrB=sqrt(A^2-C^2)`

`color(white)(rArrB)=sqrt(8^2-7^2)`

`color(white)(rArrB)=sqrt15`

`rArr"area "=7B=7sqrt15~~27.11" square units"`