DSQ: Calculating the length of the side of an acute / obtuse triangle

Practice Questions

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

Questions

8

1

Is the triangle isosceles?

Statement 1: The triangle has vertices A(1,5), B(4,2), and C(5,6).

Statement 2: $\overline{AB} = \sqrt{18}, \overline{AC} = \sqrt{17}, \overline{BC} = \sqrt{17}$

2

Rect

Note: Figure NOT drawn to scale.

The above shows a triangle $\Delta MCT$ inscribed inside a rectangle $\textrm{Rect} ; RECT$ . is $\Delta MCT$ isosceles?

Statement 1: is the midpoint of $\overline{RE}$ .

Statement 2: $\angle RTM \cong \angle ECM$

3

Which of the three sides of $\Delta ABC$ is the longest?

Statement 1: $m \angle A =m \angle B + 20^{\circ }$

Statement 2: $m \angle C = m \angle A + 100^{\circ }$

4

Which side of $\Delta ABC$ is the longest?

Statement 1: $\angle B$ is an obtuse angle.

Statement 2: $\angle A$ and $\angle C$ are both acute angles.

5

True or false: $\Delta ABC$ is scalene.

Statement 1: $\overline{AC} cong \overline{BC}$

Statement 2: $\angle B \cong \angle C$

6

True or false: $\Delta ABC$ is scalene.

Statement 1: $\angle A cong \angle B$

Statement 2: $\overline{AB} cong \overline{BC}$

7

True or false: $\Delta ABC$ is scalene.

Statement 1:

Statement 2:

8

Is $\Delta ABC$ isosceles?

Statement 1: $\Delta ABC \sim \Delta DEF$

Statement 2:

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