Math, asked by sahil7417, 1 year ago

find the length of the hypotenuse of a right angle triangle if remaining sides are 9 cm and 12 CM

Answers

Answered by BrainlyPromoter
12
The relation between the base, perpendicular and base in a right angle triangle is given by the Pythagoras Theorem.

Pythagoras theorem states that:

h ^ 2 = p ^ 2 + b ^ 2

Here in this question,
Let p = 9 cm and b = 12 cm.
We have to find ' h ' i.e. the hypotenuse.

Applying Pythagoras theorem here,
h ^ 2 = p ^ 2 + b ^ 2
h ^ 2 = ( 9 ) ^ 2 + ( 12 ) ^ 2
h ^ 2 = 81 + 144
h ^ 2 = 225
h = √225
h = 15 cm

Hence,

Hypotenuse of the triangle = h = 15 cm
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