How to find the height of a triangle

Help Questions

PSAT Math › How to find the height of a triangle

Questions 1 - 3

Trapequi1

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

$\frac{1}{2}$

$\sqrt{3}$

$\sqrt{2}$

Trapequi2

Trapequi3

Trapequi4

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

$3$

$4$

$5$

$6$

$7$

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.

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

5 cm

3 cm

1.5 cm

6 cm

None of the above

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