Question

If the length of SR is 4 m in the length of ST is 8 m what is the length of PQ in meters?

A. Square root of 80 m


B. Square root of 24 m


C. Square root of 68 m


D. Square root of 144 m

Answer 1

A. Square root of 80 m

Explanation:

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Answer 2

Given:

Consider the below figure attached with this question.

The length of SR is 4 m in the length of ST is 8 m.

To find:

The length of PQ in meters.

Solution:

In the below figure,

`PU=SR=4\ m`

`QU=ST=8\ m`

Using Pythagoras theorem in triangle PQU, we get

`PQ^2=PU^2+QU^2`

`PQ^2=(4)^2+(8)^2`

`PQ^2=16+64`

`PQ^2=80`

Taking square root on both sides, we get

`PQ=√(80)`

Therefore, the correct option is A.