In a right angled triangle, if sum of the squares of the sides making right angle is 289cm²,then the Lenght of the hypotenuse is
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Step-by-step explanation:
Area of Square = side
2
Area of Square drawn on Hypotenuse =289 cm
2
Side
H
=Hypotenuse of △=
289
=17 cm
Area of Square drawn on Base =225 cm
2
Side
B
=Base of △=
225
=15 cm
We know that in a right angled triangle, by Pythagoras theorem,
Hypotenuse
2
=base
2
+height
2
17
2
=15
2
+height
2
height
2
=64=8
2
height=8 cm
Area of Square drawn on Height =height
2
=64 cm
2
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