GMAT Quantitative Reasoning - Triangles

1

Two angles of an isosceles triangle measure $(x + 20) ^{\circ}$ and $\left ( 100-x\right )^{ \circ}$ . What are the possible values of ?

2

A triangle has 2 sides length 5 and 12. Which of the following could be the perimeter of the triangle?

I. 20

II. 25

III. 30

3

In $\Delta ABC$ , and . Which of the following values of makes $\Delta ABC$ a scalene triangle?

4

$\Delta ABC$ is a scalene triangle with perimeter 33; the length of each of its sides can be given by a prime whole number. What is the greatest possible length of its longest side?

5

$\Delta ABC$ is a scalene triangle with perimeter 33; the length of each of its sides can be given by a prime whole number. What is the greatest possible length of its longest side?

6

$\Delta ABC$ is an isosceles triangle with perimeter 43; the length of each of its sides can be given by a prime whole number. What is the greatest possible length of its longest side?

7

In the above figure, triangle SPQ, SPR and PRQ are right triangles. Given the lengths of SP and PQ are 2cm. What is the area of triangle SPR?

8

The lengths of the sides of a scalene triangle are all prime numbers, and so is the perimeter of the triangle. What is the least possible perimeter of the triangle?

9

A triangle has 2 sides length 5 and 12. Which of the following could be the perimeter of the triangle?

I. 20

II. 25

III. 30

10

$\Delta ABC$ is an isosceles triangle with perimeter 43; the length of each of its sides can be given by a prime whole number. What is the greatest possible length of its longest side?

Triangles

Practice Questions