Find the area of a rectangle if the leg is 8 cm and the hypotenuse is 17 cm.

One side of the rectangle is 8 centimeters, find the other.
Because a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the legs, we write:
17 ^ 2 = 8 ^ 2 + x ^ 2
x ^ 2 = 17 ^ 2 – 8 ^ 2
x ^ 2 = 289 – 64
x ^ 2 = 225
x = 15 cm
Find the area of the rectangle.
Using the formula, we multiply the length by the width.
S = 15 * 8 = 120 cm2
Answer: 120 cm2



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