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 $4$ $4$ , $1$ $1$ , and $5$ $5$ , 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 $4$ $4$ , $1$ $1$ , and $5$ $5$ , respectively. What is the rectangle's area?

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Answer 1 · 2016-12-05T10:51:20

$A, B, C$ $A,B,C$ are the sides of a triangle, of which $A$ $A$ is the hypotenuse.
$A = 4; C = 1; B = \sqrt{A^{2} - C^{2}} = \sqrt{4^{2} - 1^{2}} = \sqrt{15}$ $A=4 ; C=1 ; B= sqrt(A^2-C^2) = sqrt (4^2-1^2)=sqrt 15$

$B = \sqrt{15}$ $B=sqrt15$ , is one side of the rectangle and it's adacent side $D = 5$ $D=5$ , is the other side of the rectangle.

Area of the rectangle is $A_{r} = B \cdot D = 5 \cdot \sqrt{15} = 19.36 (2 d p)$ $A_r=B*D=5*sqrt15=19.36(2dp)$ sq.unit[Ans]

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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 $4$ $4$ , $1$ $1$ , and $5$ $5$ , 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 $4$ $4$ , $1$ $1$ , and $5$ $5$ , respectively. What is the rectangle's area?