Question

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

Answer 1

Therefore,

`v=9\ meter`

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.

`(GF)/(GE) =(FC)/(ED) =(GC)/(GD)\ \textrm{corresponding sides of similar triangles are in proportion}\\`

On substituting the given values we get

`(12)/(16) =(v)/(12)\\\\v=(144)/(16)=9\\\\\therefore v=9\ meter`

Therefore,

`v=9\ meter`