2006
Mathematics
67ca00ce0c643c71d77dee1f
In triangle XYZ, ∠XYZ = 15o, ∠XZY = 45o and lXYl = 7 cm. Find lYZl.
A.
14√2 cm
B.
7(√6/2)
C.
7√2 cm
D.
7 cm
Correct Answer: 7(√6/2)
Explanation
∠yxz = 180 - (45 + 15) = 180 - 60 = 120o Using sine rule x/sinx=7/sinz x/sin120=7/sin45 x=7sin120/sin45 x=(7sin(180-120))/sin45 x=7sin60/sin45=(7(√3/2)÷1/√2)x=(7(√3/2)÷1/√2)x=7(√6/2)
∠yxz = 180 - (45 + 15) = 180 - 60 = 120o Using sine rule x/sinx=7/sinz x/sin120=7/sin45 x=7sin120/sin45 x=(7sin(180-120))/sin45 x=7sin60/sin45=(7(√3/2)÷1/√2)x=(7(√3/2)÷1/√2)x=7(√6/2)THIS WEEK's
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