A right triangle and a square share a side. the hypotenuse of the triangle measures 10 cm. one base of the triangle measures 4 cm. neither the known base nor the hypotenuse is the side that is shared with the square. find the area of the square.

Question

Mathematics

Carlos

28 December, 04:53

A right triangle and a square share a side. the hypotenuse of the triangle measures 10 cm. one base of the triangle measures 4 cm. neither the known base nor the hypotenuse is the side that is shared with the square. find the area of the square.

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Answers (1)

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Saniya Tapia · Answer 1

Find the length:

a² + b² = c²

a² = 10² - 4²

a² = 100 - 16

a² = 84

a = √84

Find the area of the square:

Area of the square = √84 x √84 = 84 cm²

Answer: 84cm²