Geo_Book_Answers

USING YOUR ALGEBRA SKILLS 9
1. 6 2. 5
3. 182 4. 147
5. 8 6. 23
7. 32 8. 210
9. 53 10. 85
11. 46 12. 24
13. 125 14. 28
15. 623
16. Answers will vary. Possible answer: The length
of the hypotenuse of an isosceles right triangle
with legs of length 3 units is 18 units. This is the
same as 2 2 2,or 32.
2
1
17. The hypotenuse represents 5 units. In the
second right triangle, the legs have lengths 4 and 2,
so the hypotenuse has length 20.The length of
the hypotenuse is twice the length of the hypotenuse
of the smaller triangle, so 20 25.
5
2
1
1
18
3
20
4
3
2
18. Possible answer: A right triangle with legs of
lengths 1 and 3 units has a hypotenuse of length
10 units.
A right triangle with legs of lengths 6 and 2 units
has a hypotenuse of length 40 10
10 210.
19. Possible answer: A right triangle with legs of
lengths 2 and 3 units has a hypotenuse of length
13 units.
13
10
3
2
3
20. x 3, y 12. Because y is twice as
long as x, y 2x, so 12 23.
21. 2 2 3 2 7 2
7
2
6
1
40
3
2
ANSWERS TO EXERCISES 107
Answers to Exercises