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 $15/7$ , $4/5$ , and $2$ , respectively. What is the rectangle's area?

Question

1636 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-09-11T16:08:21

$"The Area of the Rectangle"~~2xx1*98=3.96"sq.unit"$ .

Observe that, one side of the Rectangle is $2$ .

The other side $B$ , which is common with the Right-Triangle, can be

determined using Pythagoras' Theorem :

$B^2=A^2-C^2=(15/7)^2-(4/5)^2~~3.95 rArr B~~1.98$ .

Hence, the Area of the Rectangle~~2xx1*98=3.96"sq.unit"#.

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 15/7 15/7 , 4/5 4/5 , and 2 2 , respectively. What is the rectangle's area?