Question

PLEASE ANSWER CORRECTLY!!!!!!!!!!!!!!NEED AS SOON AS POSSIBLE

Answer 1

Answer:

Therefore,

$v=9\ meter$

Step-by-step explanation:

Given:

GF = 12

GE = 16

DF = 12

CF = v

To Find:

v = ?

Solution:

In  Δ GFC and Δ GED

∠ E ≅  ∠ F …………..{ measure of each angle is 90° given }

∠ G ≅ ∠ G    ……….....{Reflexive Property}      

Δ GFC ~ Δ GED ….{Angle-Angle Similarity test}

If two triangles are similar then their sides are in proportion.

$\frac{GF}{GE} =\frac{FC}{ED} =\frac{GC}{GD}\ \textrm{corresponding sides of similar triangles are in proportion}$  

On substituting the given values we get

$\frac{12}{16} =\frac{v}{12}\\\\v=\frac{144}{16}=9\\\\\therefore v=9\ meter$

Therefore,

$v=9\ meter$