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LEARNING TASK 3
Direction: Consider the right triangle ΔMLB, find what is asked in each item. Show your complete solution. Round off your answer to the nearest hundredths.
1. If mzL = 48, find mzB.
2. If b = 6 and mzB = 36, find m.
3. If m= 23 and 1= 15, find b.
4. If b = 12 and 1= 18, find m.
5. If b = 10 and 1= 17, fin mzl.
LEARNING TASK 3
Direction: Consider the right triangle ΔMLB, find what is asked in each item. Show your complete solution. Round off your answer to the nearest hundredths.
1. If mzL = 48, find mzB.
2. If b = 6 and mzB = 36, find m.
3. If m= 23 and 1= 15, find b.
4. If b = 12 and 1= 18, find m.
5. If b = 10 and 1= 17, fin mzl.
Answers & Comments
Verified answer
Right Triangle Problem
1.
m∠B = 180 - [48 + 90]
m∠B = 180 - 138
m∠B = 42°
2.
(Hyphotenus)sin(36) = 6
Hyphotenus = 6/sin36
Hyphotenus = 10.21
3.
m^2 = l^2 + b^2
(23)^2 - (15)^2 = b^2
b^2 = 304
b = 17.44
4.
m^2 = l^2 + b^2
m^2 = 12^2 + 18^2
m^2 = 144 + 324
m^2 = 468
m = 21.63
5.
m^2 = b^2 + l^2
m^2 = 10^2 + 17^2
m^2 = 100 + 289
m^2 = 389
m = 19.72
m∠L = sin-1(17/19.72)
m∠L = 59.53°