Question

How would i find the length of g?

Answer 1

Answer:

$g=28.8\ units$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

In the right triangle BDC

Find the value of j

Applying the Pythagorean Theorem

$j^2=5^2+12^2$

$j^2=169\\j=13\ units$

step 2

In the right triangle ABD

Applying the Pythagorean Theorem

$h^2=12^2+g^2$ ----> equation A

step 3

In the right triangle ABC

Applying the Pythagorean Theorem

$(g+5)^2=h^2+13^2$ ----> equation B

step 4

Substitute equation A in equation B

$(g+5)^2=(12^2+g^2)+13^2$

solve for g

$g^2+10g+25=144+g^2+169\\10g=288\\g=28.8\ units$