Question

The perimeter of a right triangle is 24m.If its hypotenuse is 10. Find area

Answer 1

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Here's your answer...

Let the sides be x and y.

Then x+y+10 = 24
x+y = 14

By the Pythagoras theorem,
x²+y² = 100

(x+y)² = x²+y²+2xy
196 = 100 + 2xy
2xy = 96
xy = 48

Area of triangle = ½xy
= ½×48
=24 m²

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