Question

the hypotenuse of a right angled triangle is 25 CM if one of the remaining two sides is 15 cm find the length of its third side

Answer 1

using Pythagoras theorum
${hypt}^{2} = {base }^{2} + {height}^{2} \\ {25}^{2} = {15}^{2} + {height}^{2} \\ 625 = 225 + {height}^{2} \\ {height}^{2} = 625 - 225 \\ {height}^{2} = 400 \\ heigh = \sqrt{400} = 20$
the lenght of third side is 20cm.

Answer 2

The length of the third side is 20 cm.

Solution :-

★Hypotenuse of the right angled triangle

(h) = 25 cm

★Length of one of the side

(a) = 15 cm

★Assume the length third side be be 'c' cm

Using Pythagoras theorem :-

⇒ h² = a² + c²

⇒ (25)² = (15)² + c²

⇒ 625 = 225 + c²

⇒ 625 - 225 = c²

⇒ 400 = c²

⇒ √400 = c

⇒ 20 = c

⇒ c = 20

Hence

Length of the third side = 20