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 $16$ , $2$ , and $4$ , respectively. What is the rectangle's area?

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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 $16$ , $2$ , and $4$ , respectively. What is the rectangle's area?

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Answer 1 · 2017-12-29T21:00:19

$~~63.5" square units"$

Explanation:

$"the area of the rectangle "=4B$

$"to find B use "color(blue)"Pythagoras' theorem"$

$rArrB=sqrt(16^2-2^2)=sqrt(252)=6sqrt7$

$rArr"area of rectangle "=4xx6sqrt7~~63.5" to 1 dec. place"$

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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 $16$ , $2$ , and $4$ , respectively. What is the rectangle's area?

1 Answer

Explanation:

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Science

Math

Humanities

... and beyond

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 16 16 , 2 2 , and 4 4 , respectively. What is the rectangle's area?

1 Answer

Explanation:

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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 $16$ , $2$ , and $4$ , respectively. What is the rectangle's area?