The hypotenuse of a right angled isosceles triangles is 5 cm. Find its area.
(a) 6.25 cm? (b) 6.5 cm( c )12.5 cm?
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given: hypotenuse=5 cm
since isosceles right angle triangle
therefore, let one of the side be X
according to Pythagoras theorem
X²+X²=(perpendicular)²
X²+X²=5²
2.X²=25
X²=12.5
(side)²=12.5
we know that the area of a right angle triangle is base×height.
side the given triangle is isosceles, the area will be (side)²
hence area of triangle is 12.5 cm²
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