DSQ: Calculating the perimeter of an acute / obtuse triangle

Practice Questions

GMAT Quantitative Reasoning › DSQ: Calculating the perimeter of an acute / obtuse triangle

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1

Find the perimeter of the obtuse $\Delta PGN$ .

I) .

II) ${}PN=\frac{5}6{}GN$ .

2

True or false: The perimeter of $\bigtriangleup ABC$ is greater than 24.

Statement 1:

Statement 2:

3

Give the perimeter of $\bigtriangleup ABC$ .

Statement 1:

Statement 2:

4

Give the perimeter of $\bigtriangleup ABC$ .

Statement 1:

Statement 2:

5

True or false: The perimeter of $\bigtriangleup ABC$ is greater than 50.

Statement 1: $\bigtriangleup ABC$ is an isosceles triangle.

Statement 2: and

6

True or false: The perimeter of $\bigtriangleup ABC$ is greater than 50.

Statement 1: $\bigtriangleup ABC$ is an isosceles triangle.

Statement 2: and

7

True or false: $\bigtriangleup ABC$ and $\bigtriangleup DEF$ have the same perimeter.

Statement 1: $\bigtriangleup ABC$ is isosceles and $\bigtriangleup DEF$ is scalene.

Statement 2: and .

8

Given $\bigtriangleup ABC$ and Square , which one has the greater perimeter?

Statement 1:

Statement 2: $BC = 2 \cdot QR$

9

What is the perimeter of $\bigtriangleup ABC$ ?

Statement 1: The triangle with its vertices at the midpoints of $\overline{AB}$ , $\overline{AC}$ , and $\overline{BC}$ has perimeter 34.

Statement 2: , , and are the midpoints of the sides of a triangle with perimeter 136.

10

Given Triangle $\bigtriangleup ABC$ and Square , which one has the greater perimeter?

Statement 1:

Statement 2:

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