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2 years ago

What is the value of x? Enter your answer, as a decimal, in the box. ? cm

Mathematics

1 answer:

Dima020 [189]2 years ago

7 0

Answer:

The value is 50.6cm

Step-by-step explanation:

In order to find this , set up a proportion. Use the smaller part of the triangle on top, and the corresponding part of the larger on bottom.

32.2/46.2 = x/72.6

Now cross multiply to solve

72.6*32.2 = 46.2*x

2337.72 = 46.2x

50.6 = x

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elena-s [515]

Answer:

1) 20 cm

2) 22.4 in

3) 15 ft

Step-by-step explanation:

For this question, you have to use the <u>Pythagorean theorem.</u>

Why?

Well, because it is a <u><em>right triangle</em></u> and you have <u><em>2 sides given</em></u> and you want to find the third side.

Now let's solve this problem!

<u>For number 1 we have:</u>

a = 16 cm and B = 12 cm

you need to find the 3rd side which is c (aka the hypothenuse)

so let's write the equation:

a^2 + b^2 = c^2

Then we substitute with what we have given.

16^2 + 12^2 = c^2

Using a calculator solve the equation

400 = c^2

Now we have to find the square root from both sides of the equation.

c = 20 cm (That's the final answer)

<u>For number 2 we have:</u>

a = 10 in and b = 20 in

we follow the same steps as in number 1

a^2 + b^2 = c^2

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<u>For number 3 we have:</u>

a = 9 ft and b = 12 ft

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9^2 + 12^2 = c^2

225 = c^2

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<u></u>

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2 years ago

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