Question

What is the unknown length

Answer 1

The Unknown Length x is 11 cm.

Explanation:

Given:

The triangle is right angled triangle.

length of hypotenuse = 61 cm

Length of one side = 60 cm

Length of other side = x cm

We need to find the value of 'x'.

Now Since the triangle is Right angled triangle.

By Pythagoras theorem which states:

"When a triangle is a right angled triangle the the square of the hypotenuse is equal to sum of other square of other two sides."

`{\textrm{One side}}^2 + {\textrm{Other Side}}^2 = hypotenuse^2`

Substituting the values we get;

`60^2+x^2=61^2\\\\x^2 =61^2-60^2 =121`

Now taking square root on both side we get;

`√(x^2)=√(121)  \\\\x =11\ cm`

Hence the Unknown Length x is 11 cm.