Geometry: Review 7.1-7.3
Name_______________________________________________
Find the length of the hypotenuse of the right triangle.
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Find the unknown leg length x.
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Find the area of the isosceles triangle.
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9. Multiple Choice What is the length of the hypotenuse of a right triangle with leg lengths of 5 inches and 12
inches?
A. 11 inches
B. 13 inches
C. 15 inches
D. 17 inches
Find the area of a right triangle with given leg l and hypotenuse h. Round decimal answers to the nearest
tenth.
10. l = 10 ft, h = 24 ft
11. l = 15 mi, h = 39 mi
12. l = 45 m, h = 51 m
Find the area of the right triangle. Write your answer in simplest radical form.
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Tell whether the triangle is a right triangle.
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In Exercises 17–19, use the following information.
Real Estate An investor owns a triangular plot of land as shown in the diagram.
17. Find the perimeter of the plot of land.
18. One acre of land is equivalent to 43,560 square feet. How many acres are in
this plot of land? Round to two decimal places.
19. The investor is planning on selling the land. The market rate in this area is $5000 per acre. How much
should the investor ask for the land?
Decide whether the numbers can represent the side lengths of a triangle. If they can, classify the triangle
as acute, right, or obtuse.
20. 5, 7, 9
21. 10, 12, 30
22. 18, 34, 45
In Exercises 23 and 24, copy and complete the statement with <, >, or =, if
possible. If it is not possible, explain why.
23. mJ ____ mR
24. mK + mL ____ mS + mT
25. Multiple Choice What type of triangle has side lengths of 4, 4, and 4?
A. Acute scalene
B. Acute equilateral
C. Obtuse scalene
D. Obtuse isosceles
26. Multiple Choice What type of triangle has two of the three angles with measurements of 24° and 105°?
A. Acute
B. Right
C. Obtuse
D. None
In Exercises 27 and 28, use the diagram and the following information.
Maps The distances between three towns are given in the diagram.
27. Is the triangle (∆ABC) formed by the three towns a right triangle?
28. Town B is directly west of town C. Is town A directly north of town C?
Draw and label the vertices of the three similar right triangles so that the corresponding sides and angles
have the same orientation. Then write a similarity statement for the three triangles.
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Find the length of the altitude to the hypotenuse. Round decimal answers to the nearest tenth.
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33. Multiple Choice Use the diagram at the right. Which proportion is true?
A. AB
B. AC
C. AB DB
AD
AB



AD DC
AB DB
DB BC
Complete and solve the proportion.
34. x ?
35. 12  x

x ?
8 4
36. 5  x
x ?
Find the value of the variable.
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