Question

In the right triangle shown, m ∠ G = 45 ° m∠G=45°m, angle, G, equals, 45, degree and H I = 7 HI=7H, I, equals, 7. how long is gh

Answer 1

Answer:

GH = 7

Step-by-step explanation:

The question is lacking a diagram. check the diagram in the attachment.

Given the right angled triangle as shown in the attachment.

Since one of the acute angle ∠ G = 45°, the other acute angle ∠I = 45 °. Using the trigonometry ratio to get the side GH. Taking GH as the adjacent and HI as the opposite side. According to TOA;

tan∠G = opp/adj

tan∠G = HI/GH

tan45° = 7/GH

GH = 7/tan45°

GH = 7/1

GH = 7

Answer 2

Answer:

7 square root 2