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 $6$ , $2$ , and $14$ , 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 $6$ , $2$ , and $14$ , respectively. What is the rectangle's area?

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Answer 1 · 2017-11-13T02:38:35

$79.2$

Explanation:

The only way that description makes sense is for rectangle B to have the one side indicated as 14 and the unknown side is the third side of the triangle. From the Pythagorean Theorem this is:

$B^2 = A^2 - C^2 = 6^2 - 2^2 = 36 - 4 = 32$
$B = 5.66$

The Rectangle area is thus: $5.66 xx 14 = 79.2$

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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 $6$ , $2$ , and $14$ , 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 6 6 , 2 2 , and 14 14 , 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 $6$ , $2$ , and $14$ , respectively. What is the rectangle's area?