Similarity: Similar Triangles

Warm-Up Icon Section Warm-Up

In this section, you will need to use some skills you have learned earlier in this class and in previous classes.  Complete the warm-up below and ask for help on any problems that you don’t remember how to do.



think icon Think & Click: Section Warm-Up

Complete the Think & Click activity by looking at each problem below, thinking about it, and then clicking on the question to reveal the solution.

The sides of triangle A and triangle B are in the ratio of 3 to 4.  If the sides of triangle A are 6, 7, 12, what are the sides of triangle B?
 

the fraction A over B equals three-fourths

Side 1: the fraction A over B equals three-fourths equals the fraction 6 over x
3x = 24
x = 8

Side 2: the fraction A over B equals three-fourths equals the fraction 7 over x
3x = 28
x = 9.33

Side 2: the fraction A over B equals three-fourths equals the fraction 12 over x
3x = 48
x = 16
 

If two angles of a triangle measure 42° and 59°, what is the measure of the third angle?
 

42 + 59 + x = 180
101 + x = 180
x = 79°
 

If the ratio of the sides of a triangle is 3:4:5 and the perimeter is 72 inches, what is the length of each side?
 

Triangle with sides 3x, 4x and 5x, and with perimeter equal to 72 inches.
Triangle

 

Side 1: 3x
Side 2: 4x
Side 3: 5x

Perimeter = 3x + 4x + 5x = 72
12x = 72
x = 6

Side 1: 3x = 3(6) = 18 inches
Side 2: 4x = 4(6) = 24 inches
Side 3: 5x = 5(6) = 30 inches