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 $18$ $18$ , $6$ $6$ , and $3$ $3$ , 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 $18$ $18$ , $6$ $6$ , and $3$ $3$ , respectively. What is the rectangle's area?

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Answer 1 · 2016-08-10T19:58:18

$= 51$ $=51$

Explanation:

In a right-angled triangle $h = 18$ $h=18$ ; $p = 6$ $p=6$
Hence $b = \sqrt{h^{2} - p^{2}} = \sqrt{324 - 36} = \sqrt{288} \approx 17$ $b=sqrt(h^2-p^2)=sqrt(324-36)=sqrt(288)~~17$
Therefore;
Area of the rectangle $= 17 \times 3 = 51$ $=17 times 3=51$

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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 $18$ $18$ , $6$ $6$ , and $3$ $3$ , respectively. What is the rectangle's area?

1 Answer

Explanation:

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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 18 1818 , 6 66 , and 3 33 , 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 $18$ $18$ , $6$ $6$ , and $3$ $3$ , respectively. What is the rectangle's area?