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 $16$ $16$ , $5$ $5$ , and $4$ $4$ , respectively. What is the rectangle's area?

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Answer 1 · 2018-02-18T03:07:12

Area of rectangle $A_{r} = l \cdot w = 15.1987 \cdot 4 = 60.7947$ $A_r = l * w = 15.1987 * 4 = color (brown)(60.7947)$

$a = 16, c = 5, w = 4, b = l$ $a = 16, c = 5, w = 4, b = l$

Applying Pythagoras theorem,

$b = l = \sqrt{a^{2} - c^{2}} = \sqrt{16^{2} - 5^{2}} = 15.1987$ $b = l = sqrt(a^2 - c^2) = sqrt(16^2 - 5^2) = color (blue)(15.1987$

Area of rectangle $A_{r} = l \cdot w = 15.1987 \cdot 4 = 60.7947$ $A_r = l * w = 15.1987 * 4 = color (brown)(60.7947)$

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 1616 , 55 , and 44 , respectively. What is the rectangle's area?