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24 votes
Question 16

What are the values of a and b?
10
O
O
O
O
a
a
8
||
||
||
b
9
ain
2

16
-
3
15
2
ain
||
, b
||
b=
||
||
15

2
15
▬▬▬▬▬▬▬▬▬
2
9
2
13
2
3.33 pts

Question 16 What are the values of a and b? 10 O O O O a a 8 || || || b 9 ain 2 ♡ 16 - 3 15 2 ain-example-1
User Hubrik
by
7.4k points

1 Answer

5 votes

Answer:
a=(9)/(2), b=(15)/(2)

Explanation:

By the geometric mean theorem,


√(8a)=6\\\\8a=36\\\\a=(36)/(8)=(9)/(2)

Using the Pythagorean theorem to solve for b,


6^(2)+\left((9)/(2) \right)^(2)=b^(2)\\\\36+(81)/(4)=b^(2)\\\\(225)/(4)=b^2\\\\b=(15)/(2)

User Nicolas Duponchel
by
7.6k points