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 #7/9 #, #2/5 #, and #8 #, respectively. What is the rectangle's area?

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Answer 1 · 2017-12-25T13:25:43

Area of rectangle = 5.336

ABC is a right triangle. A is the hypotenuse, C is one side and B is the other side.

#:.# Side B = #sqrt(A^2 - C^2) = sqrt((7/9)^2 - (2/5)^2) = 0.667#

B is also the breadth of the rectangle.

Hence, Breadth of rectangle #B = 0.667#

Given - Length of rectangle #L = 8#

Area of rectangle #= L * B = 8 * 0.667 = 5.336#