Question

What is the unknown length

Answer 1

Answer:

The Unknown Length x is 11 cm.

Step-by-step 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;

$\sqrt{x^2}=\sqrt{121} \\\\x =11\ cm$

Hence the Unknown Length x is 11 cm.