Question

Look at the triangle What is the value of b?

Answer 1

Option C:

$b=3\sqrt{13}$

Solution:

Given PM = 4 and MY = 9

Let us first find the value of c:

By the geometric mean of similar right triangles,

$DM^2=PM\times MY$

$c^2= 4\times 9$

$c^2= 36$

Taking square root on both side of the equation, we get

c = 36

$DY^2=MY(PM + MY)$

$b^2=9(4+9)$

$b^2=9\times 13$

$b^2=117$

Taking square root on both side of the equation, we get

$b=3\sqrt{13}$

Option C is the correct answer.

Hence the value of b is $3\sqrt{13}$.