Question

b) The sides of a right triangle are 12cm and 9cm. Find the length of the hypotenuse.​

Answer 1

Given : The sides of a right triangle are 12cm and 9cm .

Need To Find : Hypotenuse of Right angled triangle.

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❍ Let's Consider Side A & Side B be the two side of Right angled triangle .

$\dag\:\:\cal{ As,\:We\:know\:that\::}\\\\ \bf\star\:\:By\:Pythagoras\:Theorem\:;$

$\qquad \dag\:\:\bigg\lgroup \sf{ (Hypotenuse)^2 \:= (Side A)^2 + ( Side B )^2 }\bigg\rgroup$

⠀⠀⠀⠀⠀Here Side A is 12 cm & Side B is 9 cm .

⠀⠀⠀⠀⠀⠀$\underline {\boldsymbol{\star\:Now \: By \: Substituting \: the \: Given \: Values \::}}$

$\qquad \longmapsto \sf{ Hypotenuse ^2 = (12) ^2 + (9)^2 }$

$\qquad \longmapsto \sf{ Hypotenuse ^2 = 144 + 81 }$

$\qquad \longmapsto \sf{ Hypotenuse ^2 = 225 }$

$\qquad \longmapsto \sf{ Hypotenuse = \sqrt {225}}$

$\qquad \longmapsto\underline {\purple {\cal{ Hypotenuse = 25 cm }}}$

Therefore,

⠀⠀⠀⠀⠀$\therefore {\underline{ \mathrm {  Hypotenuse \:of\:Right - Angled \:Triangle \:is\:\bf{25\: cm}}}}$

Answer 2

Answer:

Sides of right triangle a and b are 12cm and 9cm resp.

Let Third side be c

According to Pythagoras theorem

(c)² = (a)² + (b)²

(c)² = (12)² + (9)²

(c)² = 144 + 81

(c)² = 225

c = √225

c = 15