Answer:
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation between the cosine of an angle and the sides of the triangle.
Cos = Adjacent/Hypotenuse
__
<h3>Angle A</h3>In the given triangle, the hypotenuse is AC. The side adjacent to angle A is AB, so its cosine is ...
cos(A) = AB/AC
cos(A) = 3/5
__
<h3>Angle B</h3>The right angle in the triangle is angle B. The cosine of a right angle is 0.
cos(B) = 0
__
<h3>Angle C</h3>The side adjacent to angle C is CB, so its cosine is ...
cos(C) = CB/AC
cos(C) = 4/5
Answer:
The length of EG is 58 units
Step-by-step explanation:
The midpoint of a segment divides it into two equal part
Let us use this rule to solve our question
∵ E, F, and G are collinear points
∵ Point F is the midpoint of segment EG
→ That means F divides EG into 2 equal segments EF and FG
∴ EF = FG
∵ EF = 5x + 9
∵ FG = 3x + 17
→ Equate them
∴ 5x + 9 = 3x + 17
→ Subtract 3x from both sides
∵ 5x - 3x + 9 = 3x - 3x + 17
∴ 2x + 9 = 17
→ Subtract 9 from both sides
∴ 2x + 9 - 9 = 17 - 9
∴ 2x = 8
→ Divide both sides by 2 to find x
∵
∴ x = 4
→ Substitute x by 4 in EF and FG to find their lengths
∵ EF = 5(4) + 9 = 20 + 9 = 29
∵ FG = 3(4) + 17 = 12 = 17 = 29
∵ EG = EF + FG
∴ EG = 29 + 29 = 58
∴ The length of EG is 58 units