Find the length of the hypotenuse of a right triangle, the other two sides of which measure 9 cm and 12 cm.

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Solution

Suppose the length of the hypotenuse is a cm.

Then, by Pythagoras theorem:

$a^{2}$ = $9^{2} + 12^{2}$
=> $a^{2}$ = 81 + 144
=> $a^{2}$ =225
=> a = $\sqrt{225}$
=> a= 15

Hence, the length of the hypotenuse is 15 cm.

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Find the length of the hypotenuse of a right triangle, the other two sides of which measure 9 cm and 12 cm.

Suppose the length of the hypotenuse is a cm. Then, by Pythagoras theorem: a2 = 92 + 122 => a2 = 81 + 144 => a2 =225 => a = 225 => a= 15 Hence, the length of the hypotenuse is 15 cm.

Suppose the length of the hypotenuse is a cm.

Then, by Pythagoras theorem:

$a^{2}$ = $9^{2} + 12^{2}$
=> $a^{2}$ = 81 + 144
=> $a^{2}$ =225
=> a = $\sqrt{225}$
=> a= 15

Hence, the length of the hypotenuse is 15 cm.