Question

I NEED HELP ASAP! THANKS! :)

Answer 1

We are given:

GH = 60

HI = 42

∠H = 123°

We can use the law of cosines to solve:

GI² = HI² + GH² - 2 * HI * GH * cos ∠H

GI² = 42² + 60² - 2 * 60 * 42 * cos ∠123

GI² = 1,764 + 3,600 - 2 * 60 * 42 * -0.545

GI² = 8,110.8

√GI² = √8,110.8

GI ≈ 90.06

Therefore, the length of GI is approzimately 90.06 units.

Best of Luck!

Answer 2

Answer:

The length of GI is 90 units.

Step-by-step explanation:

You have to use Cosine Rule,

${a}^{2} = {b}^{2} + {c}^{2} - 2(b)(c) \cos(A)$

Let a = GI units = x units,

Let b = 60 units,

Let c = 42 units,

Let A = 123°,

${x}^{2} = {60}^{2} + {42}^{2} - 2(60)(42) \cos(123)$

${x}^{2} = 8108.98$

$x = \sqrt{8108.98}$

$x = 90 \: units \: (3s.f)$