Question

`The length of hypotenuse of a right angled triangle is 45 cm and its one side is 27cm . Find length of another side please help​

Answer 1

In a Right Triangle,

${a}^{2} + {b}^{2} = {c}^{2}$

Where a and b are the adjacent sides and c is the hypotenuse.

Here we have given one adjacent side a = 27 and the hypotenuse c = 45cm

Therefore by using Pythagoras Theorem,

${a}^{2} + {b}^{2} = {c}^{2}$

${b}^{2} = {c}^{2} - {a}^{2}$

$b = \sqrt{ {c}^{2} - {a}^{2} }$

$b = \sqrt{ {45}^{2} - {27}^{2} }$

$b = \sqrt{2025 - 729}$

$b = \sqrt{1296}$

$b = 36$

Therefore length of other adjacent side will be 36cm

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