In a certain right triangle, the two sides that are perpendicular to each other are 3.70 m and 8.00 m long. What is the length of the third side of the triangle?

Respuesta :

Answer:

8.8 m

Explanation:

We are given that a right triangle

Two sides are perpendicular

Let a=3.70m

b=8.00m

We have to find the length of third side of triangle.

[tex]c^2=a^2+b^2[/tex]

By using Pythagoras theorem

[tex](Hypotenuse)^2=(Base)^2+(Perpendicular\;side)^2[/tex]

Substitute the values then we get

[tex]c^2=(3.7)^2+(8)^2=13.69+64[/tex]

[tex]c^2=77.69[/tex]

[tex]c=\sqrt{77.69}=8.8m[/tex]

Hence, the length of third side of the triangle 8.8 m

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