Question

Find the perimeter of OQR if OQ=6.5.

A.
6.1
B.
12.2
C.
13
D.
19.1

Answer 1

D. 19.1

Explanation:

We know the length of the two sides: OQ = 6.5 and RQ = 6.1.

Since two of the angles in the triangle are same, it is an isosceles triangle.

So the sides that opposite the same angle are of equal length, therefore the side OR is also 6.5.

Now that we know the lengths of all three sides, we can add them up to find the perimeter of this triangle.

Perimeter of OQR = 6.1 + 6.5 + 6.5 = 19.1

Therefore, option D, 19.1 is the correct answer.

Answer 2

The correct answer is 19.1

EXPLANATION

The perimeter of triangle OQR is the sum of the distance around the triangle.

Thus,

`Perimeter=|OQ|+|OR|+|RQ|`

We can observe that two of the angles are equal.

The angles that are equal measures 62° each.

Therefore triangle OQR is an isosceles triangle. This means that

`|OQ|=6.5=|OR|`

Hence,

`Perimeter=6.5+6.5+6.1`

`Perimeter=19.1` units.