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son4ous [18]
4 years ago
8

In triangleABC, C is the right angle. If tanA = 8/6, find cosB

Mathematics
1 answer:
klemol [59]4 years ago
4 0

<u>Short answer</u> = C) 8/10

<u>Working :</u>

Tan A = 8/6 = Opposite / AdjacentOpposite = 8 units

Adjacent = 6 units

Hypotenuse = \sqrt{8^{2} + 6^{2} }

                     = \sqrt{64 + 36 }

                     = \sqrt{100}

                     = 10 units

Cos B  = Adjacent/ Hypotenuse

        ∴  cos B= 8/10

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Answer:

  • 12. x = 6, side = 83
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  • 15. x = 23, sides = 95, 95 and 108

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<em>11 is incomplete, can't solve</em>

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<u>The triangle is equilateral, so all sides are equal, using one pair to find x:</u>

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<u>Sides are equal as triangle is equilateral</u>

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<u>Equal sides of isosceles triangle:</u>

  • CD = DE
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<u>Sides are</u>

  • CD = DE = 9*11 - 25 = 99 - 25 = 74
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<u>Equal sides of isosceles triangle WXY, WX = WY</u>

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  • XY = 5x - 7
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<u>Sides are:</u>

  • WX=WY = 4*23 + 3 = 95
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