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cricket20 [7]
3 years ago
14

Order the side from greatest to least. Η. 28° 118° K J side [Select ]

Mathematics
1 answer:
KIM [24]3 years ago
4 0

Answer:

HJ>KJ>HK

Step-by-step explanation:

Side opposite to the largest angle is the largest.

Side opposite to smallest angle is the smallest.

ang K = 118° ang J = 28°

ang K + ang J + ang H = 180° (Sum of all the angles in the triangle is 180°)

118°+28°+angH=180° (Putting the values of ang K & ang J)

146°+angH=180°

ang H=180°-146°

ang H=34°

128°>34°>28°

ang K>ang H>ang J

Here, ang K is the largest, so the side opposite to it i.e. HJ will be the largest side.

Smaller than ang K and bigger than ang J is ang H, so the side opposite to it i.e. KJ will be smaller than HJ but bigger than HK.

Ang J is the smallest angle, so the side opposite to it i.e. HK will be the smallest.

HJ>KJ>HK.

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Answer:

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Step-by-step explanation:

wire was bent into the shape of a rectangle with width 5 and length 7. If this wire is bent into shape of a square, what is the length of a side of the square

Given that:

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see explanation

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Using the tangent ratio in the right triangle

tan A = \frac{opposite}{adjacent} = \frac{BC}{AC} = \frac{7}{8} , then

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The sum of the angles in the triangle = 180° , then

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∠ B + 131° = 180° ( subtract 131° from both sides )

∠ B = 49°

Using Pythagoras' identity in the right triangle

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