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 $12$ $12$ , $8$ $8$ , and $16$ $16$ , 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 $12$ $12$ , $8$ $8$ , and $16$ $16$ , respectively. What is the rectangle's area?

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Answer 1 · 2016-12-08T01:59:20

$64 \sqrt{5}$ $64sqrt5$

Explanation:

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Given that $A = 12, C = 8$ $A=12, C=8$ ,
$\Rightarrow B = \sqrt{A^{2} - C^{2}} = \sqrt{12^{2} - 8^{2}} = \sqrt{80} = \sqrt{16 \times 5} = 4 \sqrt{5}$ $=> B=sqrt(A^2-C^2)=sqrt(12^2-8^2)=sqrt80=sqrt(16xx5)=4sqrt5$

Hence rectangle area $= B \times 16 = 4 \sqrt{5} \times 16 = 64 \sqrt{5} = 143.11$ $=Bxx16=4sqrt5xx16=64sqrt5=143.11$

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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 $12$ $12$ , $8$ $8$ , and $16$ $16$ , respectively. What is the rectangle's area?

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Explanation:

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Science

Math

Humanities

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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 12 1212 , 8 88 , and 16 1616 , 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 $12$ $12$ , $8$ $8$ , and $16$ $16$ , respectively. What is the rectangle's area?