Chapter 7 Review

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AC=34 and BD=240/17

Find AC and BD

20

Find the area of the triangle below.

27⁰

Find the missing angle. Round your answer to the nearest degree.

42⁰

Find the missing angle. Round your answer to the nearest degree.

43⁰

Find the missing angle. Round your answer to the nearest degree.

≈13.6

Find the missing angle. Round your answer to the nearest degree.

15 cm

Find the missing side of a triangle shown. Write your answer in the simplest radical form.

4√15 cm

Find the missing side of a triangle shown. Write your answer in the simplest radical form.

≈4.1

Find the missing side of angle. Round your answer to the nearest tenth.

≈10.3

Find the missing side. Round your answer to the nearest tenth.

≈16.7

Find the missing side. Round your answer to the nearest tenth.

≈18.4

Find the missing side. Round your answer to the nearest tenth.

≈18.9

Find the missing side. Round your answer to the nearest tenth.

≈3.8

Find the missing side. Round your answer to the nearest tenth.

≈4.3

Find the missing side. Round your answer to the nearest tenth.

≈4.6

Find the missing side. Round your answer to the nearest tenth.

a = 3

Find the value of the variable.

m=4

Find the value of the variable.

n=3√6

Find the value of the variable.

a=42 2/3 b=40 c=52 1/3

Find the values of a, b and c.

x=(16√3)/3 and y=(32√3)/3

Find the values of x and y. Write your answers in simplest radical form.

x=15/2 and y=(5√3)/2

Find the values of x and y. Write your answers in simplest radical form.

x=24√3 and y=36

Find the values of x and y. Write your answers in simplest radical form.

x=7 and y=7

Find the values of x and y. Write your answers in simplest radical form.

x=8√3 and y=12

Find the values of x and y. Write your answers in simplest radical form.

x=12.5 y=3.75 z=(7√15)/4

Find the values of x, y and z. Write your answers in simplest radical form.

24√3 feet

An equilateral triangle has an altitude length of 36 feet. Determine the length of a side of the triangle.

AB=7.74 m∠A=57⁰ m∠B=33⁰

Solve the triangle (Find all the unknown measures)

EF=2.73 m m∠D=65⁰ m∠F=25⁰

Solve the triangle (Find all the unknown measures)

GH=7.64 ft GI=7.91 m∠I=44⁰

Solve the triangle (Find all the unknown measures)

KL=2.71 yd JK=2.84 yd m∠K=17⁰

Solve the triangle (Find all the unknown measures)

No

State if the three numbers can be the measures of the sides of a triangle. 12√2, 7√2, 20√2

Yes

State if the three numbers can be the measures of the sides of a triangle. 9√3, 2√3, 10√3

Right

State if the three side lengths form an acute, obtuse, or right triangle. 2√2, 2√2, 4

Obtuse

State if the three side lengths form an acute, obtuse, or right triangle. 5, 12 ,15

∆ADB~∆BDC~∆ABC

Write a similarity statement for the three similar triangles in the diagram.


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