Question

ABC is a triangle, right angled at C. If AB = 25 cm and AC = 7 cm, find BC

Answer 1

putting Pythagoras theorem AB2=AC2+AB2

Answer 2

Since the triangle is Right angled at C, the Hypotenuse is AB.

By applying Pythagoras Theorem,

Hypotenuse² = Side² + Side²

AB² = BC² + AC²

Here, the required value is BC.

Solving,

25² = BC² + 7²

625 = BC² + 49

BC² = 625 - 49

BC² = 576

BC = √576

BC = 24

∴ BC = 24cm

(figure given below for better understanding)

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