We are given that
In right triangle ABC, if angle A is 90 degrees, angle C is 34 degrees, and AC is 71.4, find BC.
Solution
We will first draw a diagram to illustrate the information
Above we want to find x
The method to use is SOHCAH
From the right angle triangle above we have above, we have the adjacent side and we want to find the hypotenus, so we use cosine
i.e

We need to solve for x here

Thus, |BC| = 86.1 (to the nearest tenth
Answer:
x = 15
x = 15
The answers should be the same because the triangles are similar. The ratio of the sides are in the same proportion.
Step-by-step explanation:
a. x 12
------- = --------------
20 16
using cross products
x*16 = 20 * 12
16x = 240
divide by 16 on each side
16x/16 = 240/16
x = 15
b x 6
------- = --------------
20 8
using cross products
x * 8 = 6 * 20
8x = 120
divide each side by 8
8x/8 = 120/8
x = 15
c. The answers should be the same because the triangles are similar. The ratio of the sides are in the same proportion.
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Answer:</u></h2><h2><u>
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Solution Steps:</u></h2>
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<h3>1.) Multiply both sides of the equation by 3:</h3>
× 
× 
<em> - We do this because we need to get x alone and separate from fraction from. </em>
<u>Equation at the end of Step 1:</u>
- <u />
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<h3>2.) Add 33 to both sides:</h3>
Cancels Out
<em> - We do this to cancel out an extra numbers in order to get only x alone with 1 number on the opposite side of the equal. </em>
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Finding the area of the triangle:
H: 40 m
L: 40 m
Finding the are of the rectangle
H: 10
L: 30
30 × 10= 300
1600 + 300= 480,000
Hope This Helps! :3