DSQ: Calculating the area of an equilateral triangle

Practice Questions

GMAT Quantitative Reasoning › DSQ: Calculating the area of an equilateral triangle

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Given three equilateral triangles $\bigtriangleup ABC$ , $\bigtriangleup DEF$ , and $\bigtriangleup GHJ$ , which has the greatest area?

Statement 1:

Statement 2:

Give the area of equilateral triangle $\bigtriangleup ABC$ .

Statement 1: $\overline{AB}$ is a diameter of a circle with circumference $6 \pi$ .

Statement 2: $\overline{BC}$ is a side of a 45-45-90 triangle with area .

Given an equilateral triangle $\bigtriangleup ABC$ and Square , which, if either, has the greater area?

Statement 1: and are located on the same circle.

Statement 2: Each diagonal of Square has length $\frac{4}{3}$ times the height of $\bigtriangleup ABC$ .

Given two equilateral triangles $\bigtriangleup ABC$ and $\bigtriangleup DEF$ , which has the greater area?

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

Statement 2: is the midpoint of $\overline{DF}$ .

Which figure, if either, has the greater area: equilateral triangle $\bigtriangleup ABC$ or a given circle with center ?

Statement 1: The midpoint of $\overline{AB}$ is on the circle.

Statement 2: is outside the circle.

Given two equilateral triangles $\bigtriangleup ABC$ and $\bigtriangleup DEF$ , which, if either, has the greater area?

Statement 1:

Statement 2:

Given two equilateral triangles $\bigtriangleup ABC$ and $\bigtriangleup DEF$ , which has the greater area?

Statement 1:

Statement 2: $6 \cdot EF = 5 \cdot BC$

Find the area of an equilateral triangle.

Which, if either, of equilateral triangles $\bigtriangleup ABC$ and $\bigtriangleup DEF$ , has the greater area?

Statement 1:

Statement 2:

Which, if either, of equilateral triangles $\bigtriangleup ABC$ and $\bigtriangleup DEF$ , has the greater area?

Statement 1: $3 \cdot AB + 2 \cdot DE =45$

Statement 2: $2 \cdot BC+ DF= 27$

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