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nexus9112 [7]
3 years ago
13

The diagram represents a reduction of a triangle by using a scale factor of 0.8.

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
3 0

Answer:

4.8 inches

Step-by-step explanation:

<em>See comment for complete question</em>

Represent the larger triangle with 1 and the smaller with 2.

So, we have:

H_1 =6\ in -- height of 1

Required

Determine H2 --- Height of 2

To do this we apply dilation formula.

Original * Scale\ Factor = New

In this case:

H_1 * Scale\ Factor = H_2

Substitute 6 for H1 and 0.8 for Scale Factor

6* 0.8 = H_2

4.8= H_2

Hence, the height of the smaller triangle is 4.8 inches

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Find the measure of angle eight in each triangle round each answer to the nearest 10th
vlada-n [284]

Answer:

# m∠A = 65.3°

# m∠A = 25.8°

# m∠A = 22.7°

Step-by-step explanation:

* Lets revise the trigonometry function to solve the problem

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# The side opposite to the right angle is called the hypotenuse

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# tan(A) = opposite/adjacent

∵ The opposite to ∠A is BC

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# In Δ ABC

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∵ m∠B = 90°

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* m∠A = 22.7°

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