Solve the following triangles:
1 answer:
Answer:
1.1) B=12.42°, C=146.58°, c=15.37
1.2) B=8°, C=124°, c=35.7
2.1) Perimeter = 31.37 units, Area = 16.5 square units
2.2) Perimeter = 73.70 units, Area = 75.6 square units
Step-by-step explanation:
2.1) Perimeter: P = a+b+c → P = 10+6+15.37 → P = 31.37
Area: A = a b sinC / 2
Replacing the known values:
A = (10)(6) sin 146.58325418° / 2 → A = 60(0.55072472) / 2 →
A = 16.52174152 → A = 16.52 square units
2.2) Perimeter: P = a+b+c → P = 32+6+35.70 → P=73.70
Area: A = a b sin C /2
Replacing the known values:
A = (32)(6) sin 123.99036327° / 2 → A = 192(0.82913161) / 2 →
A = 75.59663485 → A = 75.6 square units
You might be interested in
Given:
Amount = Rs. 9,144
Time = 3 years.
Rate of simple interest = 9%
To find:
The principal value.
Solution:
The formula for simple interest is:
Where, P is principal, r is the simple rate of interest, and t is the number of years.
Putting in the above formula, we get
We know that,
Divide both sides by 1.27, we get
Therefore, the principal value is Rs. 7200.