Question

Find GH. picture is attached

Answer 1

Answer: 4.6

Step-by-step explanation:

GH is equal to 4.6 since it is congruent to JH. GJ is one line, which makes angles GKH and JKH supplementary angles. Since angle GKH = 90, angle JKH must also equal 90, making these triangles similar. However, if you wish to see it done out mathematically, the following explanation is there:

$a^{2} + b^{2} = c^{2}$

3.6^2 + HK^2 = 4.6^2

HK^2 = 4.6^2 - 3.6^2

HK^2 = 8.2

HK = 2.86

HK^2 + GK^2 = GH^2

8.2 + 12.96 = GH^2

GH = 4.6