Question

Find the length of a side of the triangle when the hypotenuse and the other adjacent side are given. Hypotenuse=12.30 ,One adjacent side=12cm, Second adjacent side=?​

Answer 1

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Given -

Hypotenuse = 12.30 cm

One adjacent side = 12 cm

To find -

Second adjacent side.

To find the second adjacent side of the triangle we need to apply Pythagoras theorem.

Pythagoras theorem -

(AC)² = (AB)² + (BC)²

So, according to condition :-

(AC)² = (AB)² + (BC)²

= (12.30)² = (12)² + (BC)²

= 151.29 = 144 + (BC)²

= (BC)² = 151.29 - 144

= (BC)² = 7.29

= BC = √7.29

= BC = 2.7 m

So the second adjacent side is 2.7 m( By Pythagoras theorem).