How to find the height of a triangle - PSAT Math

Card 0 of 3

Question

A triangle has a base of 5 cm and an area of 15 cm. What is the height of the triangle?

Answer

The area of a triangle is (1/2)*base*height. We know that the area = 15 cm, and the base is 5 cm, so:

15 = 1/2 * 5 * height

3 = 1/2 * height

6 = height

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Question

Trapequi1

In the figure above, AB = AD = AE = BD = BC = CD = DE = 1. What is the distance from A to C?

Answer

Trapequi2

Trapequi3

Trapequi4

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Question

A triangles has sides of 5, 9, and x. Which of the folowing CANNOT be a possible value of x?

Answer

The sum of the lengths of the shortest sides of a triangle cannot be less than the third side.

3 + 5 = 8 < 9, so 3 can't be a value of x.

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