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In a certain right triangle, the two sides that are perpendicular to each other are 5.30 m and 7.80 m long. What is the length of the third side of the triangle?

In a certain right triangle, the two sides that are perpendicular to each other are-example-1
User Matthieu G
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1 Answer

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Let's draw an illustration of the right triangle given their sides.

In order to determine the length of the third side, we will use the Pythagorean Theorem.


c=√(a^2+b^2)

where "a" and "b" are the sides of the triangle that are perpendicular to each other while "c" is the hypotenuse or the third side.

Let a = 5.30 m and b = 7.80 m. Let's plug this into the formula above.


c=√((5.30m)^2+(7.80m)^2)

Then, solve for c.


c=√(28.09m^2+60.84m^2)
c=√(88.93m^2)
c\approx9.43m

Therefore, the length of the third side is approximately 9.43 meters.

In a certain right triangle, the two sides that are perpendicular to each other are-example-1
User Srujan Kumar Gulla
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