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

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Answer 1 · 2017-12-20T20:58:05

$"area "~~50.756" square units"$

Explanation:

$"the rectangles area "=4B$

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

$8^2+B^2=15^2$

$rArrB=sqrt(15^2-8^2)=sqrt161~~12.689$

$rArr"area of rectangle "=4xx12.689~~50.756$

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

1 Answer

Explanation:

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Impact of this 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 $15$ , $8$ , and $4$ , respectively. What is the rectangle's area?