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Triangle GMAT Essentials

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Triangle GMAT Essentials

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About this activity

Key triangle rules for GMAT problems.

Created by

Luz Helena Botero Muñoz
Luz Helena Botero Muñoz
Colombia

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Triangle GMAT Essentials
 

Triangle GMAT EssentialsOnline version

Key triangle rules for GMAT problems.

by Luz Helena Botero Muñoz
1

What is the sum of interior angles in any triangle?

2

If two angles are 45° and 60°, what is the third angle?

3

In a right triangle, the two non-right angles are ____.

4

Equilateral triangles have all interior angles equal to?

5

In an isosceles triangle, which angles are equal?

6

The longest side is opposite which angle?

7

If a triangle has sides a, b, c with c longest, which angle is largest?

8

Area of a triangle is given by?

9

Heron's formula uses which parameter?

10

In a triangle, the height from the vertex to the base halves the triangle when?

11

Un triángulo isósceles tiene un ángulo de 30° en el vértice (tomar el vértice opuesto a la base del triángulo). ¿Qué ángulos forman las bisectrices de los otros dos ángulos?

Explicación

In any triangle, interior angles sum to 180°.

180° − 45° − 60° = 75°.

The non-right angles sum to 90°, hence complementary.

All three angles are 60° in an equilateral triangle.

Two angles opposite the equal sides are equal.

In any triangle, larger side corresponds to larger angle.

The largest side is opposite the largest angle.

Area = 0.5 × base × height.

Area = sqrt[s(s−a)(s−b)(s−c)], with s the semiperimeter.

The height splits a right triangle into two similar triangles; not generally halving elsewhere.

 
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