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Nina [5.8K]
4 years ago
12

Could someone just explain how to solve this for the two sides? We learned 30 60 90 triangles not 29 61 90 triangles

Mathematics
1 answer:
natta225 [31]4 years ago
5 0

Step-by-step explanation:

Use SOH-CAH-TOA.

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

Side a is adjacent to the 29° angle, and 14 is opposite of the 29° angle.  So use tangent:

tan 29° = 14 / a

a = 14 / tan 29°

a ≈ 25.3

Side c is the hypotenuse, and 14 is opposite of the 29° angle.  So use sine:

sin 29° = 14 / c

c = 14 / sin 29°

c ≈ 28.9

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Given:

DE contains the points D(1, -2) and E(3, 4).

FG contains the points F(-1, 2) and G(4, 0).

To find:

Is DE perpendicular to FG.

Solution:

Slope of DE:

$m=\frac{y_2-y_1}{x_2-x_1}

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