Acute / Obtuse Triangles

Practice Questions

GMAT Quantitative Reasoning › Acute / Obtuse Triangles

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1

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?

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

Two angles of an isosceles triangle measure and . What are the possible values of ?

4

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?

5

is a scalene triangle with perimeter 30. . Which of the following cannot be equal to ?

6

What is the area of a triangle on the coordinate plane with its vertices on the points ?

7

is a scalene triangle with perimeter 47; 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?

8

Given: with and .

Construct the altitude of from to a point on . What is the length of ?

9

Two angles of an isosceles triangle measure and . What are the possible values of ?

10

What is the area of a triangle on the coordinate plane with its vertices on the points ?

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