Find the area of a right-angled triangle, the hypotenuse of which is 17 cm, and one of the legs is 8 cm.

univerkov | August 11, 2021 | education

1. Vertices of the triangle – A, B, C. ∠C = 90 °. BC = 8 cm. AB = 17 cm.

2. Find the length of the AC leg:

AC = √AB² – BC² = √17² – 8² = √289 – 64 = √225 = 15 cm.

3. Calculate the area (S) of a given triangle:

S = AC x BC / 2 = 15 x 8/2 = 60 cm².

Answer: the area of a given triangle is 60 cm².

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