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 $17$ $17$ , $2$ $2$ , and $9$ $9$ , 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 $17$ $17$ , $2$ $2$ , and $9$ $9$ , respectively. What is the rectangle's area?

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Answer 1 · 2016-02-29T12:02:09

Area = (Aproximately) $151.9$ $151.9$ sq.units

Explanation:

enter image source here

From the diagram (and using the Pythagorean Theorem)
$XXX B = \sqrt{A^{2} - C^{2}}$ $color(white)("XXX")B = sqrt(A^2-C^2)$
$XXXX = \sqrt{17^{2} - 2^{2}}$ $color(white)("XXXX")=sqrt(17^2-2^2)$
$XXXX = \sqrt{285}$ $color(white)("XXXX")=sqrt(285)$
and using a calculator
$XXXX \approx 16.88$ $color(white)("XXXX")~~16.88$

The Area of the Rectangle is
$XXX B \times 9 \approx 16.88 \times 9 \approx 151.9$ $color(white)("XXX")Bxx9 ~~16.88xx9 ~~151.9$

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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 $17$ $17$ , $2$ $2$ , and $9$ $9$ , 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 17 1717 , 2 22 , and 9 99 , 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 $17$ $17$ , $2$ $2$ , and $9$ $9$ , respectively. What is the rectangle's area?