Question

6
b
D
h
14
C
a
B
Use the geometric mean (leg) theorem. What is
value of a?
07√2
O 2√70
O
20√5
O 70√5

Answer 1

Answer:

Step-by-step explanation:

$\frac{6}{h}=\frac{h}[14}\\84=h^{2}\\h=\sqrt{84}$

So, by the Pythagorean theorem,

$a^{2}=14^{2}+(\sqrt{84})^{2}\\a^{2}=280\\a=\boxed{2\sqrt{70}}$