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24 October, 00:13

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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  1. 24 October, 02:07
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    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.
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