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 $8$ $8$ , $7$ $7$ , and $17$ $17$ , respectively. What is the rectangle's area?

Question

1382 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-10T08:38:00

Area $= 17 \sqrt{15}$ $=17sqrt15" "$ square units

One side of the rectangle measures 17
side $b = \sqrt{8^{2} - 7^{2}} \sqrt{64 - 49} = \sqrt{15}$ $b=sqrt(8^2-7^2)sqrt(64-49)=sqrt15$

Area $= 17 \cdot b = 17 \cdot \sqrt{15}$ $=17*b=17*sqrt15$

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 88 , 7 77 , and 17 1717 , respectively. What is the rectangle's area?