Question

the hypotenuse of a right angled triangle is 10 cm long. if one of the side is 6 cm long . find the length of the third side​

Answer 1

Given:

• hypotenuse of the triangle i. e. 10cm
• Length of one side of the triangle i.e. 6cm

To Find:

• length of the third side.

Solution:

• let's hypotenuse = h
• let the second side = a
• let the third side = b

According to Pythagorean theorem,

⟹ (a)² + (b)² = (h)²

⟹ (a)² + (6)² = (10)²

⟹ a² = 10² - 6²

⟹ a² = 100 - 36

⟹ a² = 64

⟹ a = √64

⟹ a = 8

The length of the third is 8cm.

Answer 2

Given that H = 10cm

And one of the side is 6 cm ...

We have to find the third side..

The triangle is a right angled

so, by applying pythagorean theorem....

10^2 = 6^2 + X^2 ( X is any side)

100 = 36 + X^2

X^2 =  64

X = √64

X = 8 cm

Hope it helps you (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧