Question

what is the value of m in the figure below

a square root 624

b square root 126

c square root 42

d square root 178

e square root 77

Answer 1

what is it

Answer 2

u have three rectangle triangles
use pythagoras' theorem

Answer 3

can u do it?

Answer 4

is it the square root of 126

Answer 5

are u guessing?

Answer 6

u r right, anyway

Answer 7

thank you

Answer 8

all 3 triangles (the big outer one, and the two inside ones) are similar. so in this case,
you can set up the ratio
\[ \frac{short leg}{hypotenuse} = \frac{shortleg}{hypotenuse} \]
For this problem,
\[ \frac{m}{18}= \frac{7}{m} \]