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Help me please, an explanation would be nice as well

Help me please, an explanation would be nice as well-example-1
User Chunkyguy
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1 Answer

2 votes

Answer:

Option (A). 44.1

Explanation:

In the figure attached,

Triangle XYZ is am obtuse triangle having,

m∠XZY = 133°

m(YZ) = 21 units

m(XZ) = 27 units

By Cosine rule,

(XY)² = (XZ)² + (YZ)² - 2(XZ)(YZ)cosθ

Where θ is the angle opposite to side XY.

(XY)² = (27)² + (21)² - 2(27)(21)cos(133)°

= 1943.38614

XY = √1943.38614

XY = 44.084

≈ 44.1 units

Therefore, length of side XY = 44.1 units

Option (A) will be the answer.

User Millimoose
by
7.9k points

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