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 $9$ , $8$ , and $22$ , 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 $9$ , $8$ , and $22$ , respectively. What is the rectangle's area?

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Answer 1 · 2018-02-05T09:50:38

$~~90.71" square units to 2 dec. places"$

Explanation:

$"the area of the rectangle "=color(red)(22B)$

$"calculate B using "color(blue)"Pythagoras' theorem"$

$B=sqrt(9^2-8^2)=sqrt17$

$rArr"area "=22sqrt17~~90.71" square units"$

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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 $9$ , $8$ , and $22$ , respectively. What is the rectangle's area?

1 Answer

Explanation:

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Impact of this question

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 9 9 , 8 8 , and 22 22 , 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 $9$ , $8$ , and $22$ , respectively. What is the rectangle's area?