Question

the length of the legs of a right angledtriangle are 12cm and 5cm. find the length of the third side

Answer 1

Heya User ✌

Here's your answer friend,

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✔ Given : The length of the legs of a right angled triangle are 12 cm and 5 cm.

(i.e. Two adjacent sides = 12 cm and 5 cm respectively)

we don't know Hypotenuse side

$Therefore,$

$By \: Pythagorus \: Theorem$

We have,

✔ (AB)² + (BC)² = (AC)²

Here, let AB and BC be two adjacent sides or legs of right angled triangle 12 cm and 5 cm respectively.

And AC be the hypotenuse side.

==> We have,

==> (12)² + (5)² = AC² (Hypotenuse side)²

==> 144 + 25 = (AC)²

==> 169 = AC²

==>$\: AC \: = \sqrt{169}$

==> $AC$ $= 13 cm$

Hope it helps you

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