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 $15/8$ , $4/5$ , and $1$ , respectively. What is the rectangle's area?

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Answer 1 · 2016-09-10T12:28:19

$A = 1.6958$

Knowing that the hypotenuse, $a = 15/8 and c = 4/5$ , you can use Pythagoras' Theorem to find $b$

$b^2 = a^2 -c^2$

$b^2 = (15/8)^2 - (4/5)^2 " " rarr 1.75^2 -0.8^2$

$b^2 = 2.875625$

$b = 1.6958$

Now that you have the length of $b$ ,

$A = l xxb$

$A = 1.6958 xx 1$

$A = 1.6958$

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 15/8 15/8 , 4/5 4/5 , and 1 1 , respectively. What is the rectangle's area?