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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 b b 15 2 15 2 9 2 13 2 333 pts class=

Respuesta :

Medunno13

Answer: [tex]a=\frac{9}{2}, b=\frac{15}{2}[/tex]

Step-by-step explanation:

By the geometric mean theorem,

[tex]\sqrt{8a}=6\\\\8a=36\\\\a=\frac{36}{8}=\frac{9}{2}[/tex]

Using the Pythagorean theorem to solve for b,

[tex]6^{2}+\left(\frac{9}{2} \right)^{2}=b^{2}\\\\36+\frac{81}{4}=b^{2}\\\\\frac{225}{4}=b^2\\\\b=\frac{15}{2}[/tex]

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