7.4 Similarity in Right Triangles

Find the missing length indicated. Leave your answer in simplest radical form.

• 64
• 12
• 9
• 100

Tags

CCSS.HSA.REI.A.2

CCSS.HSG.SRT.C.8

Find the missing length indicated. Leave your answer in simplest radical form.

• 60
• 100
• 80
• 20

Tags

CCSS.HSG.SRT.B.5

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

√28 in simplest radical form:

• 7√2

• 7√4

• 4√7

• 2√7

Tags

CCSS.HSN.RN.A.2

√45 in simplest radical form:

• 3√5

• 5√3

• 9√5

• 5√9

Tags

CCSS.HSN.RN.A.2

In simplest radical form,
√80 is equivalent to

• 16√5
• 2√20
• 4√5
• 8√5

Tags

CCSS.HSN.RN.A.2

• 100
• 110
• 120
• 130

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Given the diagram at the right, as labeled, find CD.

• 2

• 4

• $2\sqrt{5}$

• $4\sqrt{5}$

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

The accompanying diagram shows a 24-foot ladder

leaning against a building. A steel brace extends

from the ladder to the point where the building

meets the ground. The brace forms a right angle

with the ladder. If the steel brace is connected to

the ladder at a point that is 10 feet from the foot of the ladder, which equation can be used to find the length, x, of the steel brace

• $\frac{10}{x}=\frac{x}{14}$

• $\frac{10}{x}=\frac{x}{24}$

• $\frac{34}{x}=\frac{x}{10}$

• $\frac{24}{10}=\frac{10}{x}$

Tags

CCSS.HSA.CED.A.1

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

In right triangle ABC shown in the diagram below, altitude
  $\overline{BD}$  is drawn to hypotenuse  $\overline{AC}$           , CD=12, and AD=3. What is the length of  $\overline{AB}$  ?

•  $5\sqrt{3}$  

• 6

•  $3\sqrt{5}$  

• 9

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

In the diagram below of right triangle ABC, an altitude is drawn to the hypotenuse AB. Which of the following is true?

• $\frac{c}{z}=\frac{z}{y}$

• $\frac{c}{a}=\frac{a}{y}$

• $\frac{x}{z}=\frac{z}{y}$

• $\frac{y}{b}=\frac{b}{x}$

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8