How would i find the length of g?

Question

asked Dec 11, 2021 106k views

1 Answer

Nate Uni · Answer 1 · 2021-12-16T19:47:46+0000

Answer:

$g=28.8\ units$

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

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