How do u find the perimeter and the area of a triangle with the hypotenuse of 25 cm and leg 20 cm

Question

Jeremiah Whitney

Mathematics

30 July, 06:33

How do u find the perimeter and the area of a triangle with the hypotenuse of 25 cm and leg 20 cm

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Answers (1)

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Kelly Kemp · Answer 1

Our triangle is ABC with ∠C = 90°

1) AB² = BC² + AC² (Pythagorean theorem)

25² = 20² + AC²

AC² = 625 - 400

AC² = 225

AC = 15

2) PΔABC = AB + BC + AC = 25 + 15 + 20 = 60

3) SΔABC = AC * BC * 1/2 = 15 * 20 * 1/2 = 150

Answer: the perimeter is 60 cm and the area is 150 cm².