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The lengths of the legs of a right triangle are 6 and 10. What is the length of the hypotenuse to the nearest tenth?

Sagot :

Answer:

h ≈ 11.7

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse (h) is equal to the sum of the squares on the other 2 sides, that is

h² = 6² + 10² = 36 + 100 = 136 ( take the square root of both sides )

h = [tex]\sqrt{136}[/tex] ≈ 11.7 ( to the nearest tenth )

Length of the hypotenuse is equal to [tex]\boldsymbol{11.7}[/tex]

Right triangle

A right triangle, also known as a right-angled triangle, or more formally an orthogonal triangle, was originally known as a rectangle triangle, is a triangle with one right angle and two perpendicular sides.

Lengths of the legs of a right triangle are equal to [tex]\boldsymbol{6,10}[/tex]

Square of the length of the hypotenuse is equal to sum of squares lengths of the legs.

So,

Length of the hypotenuse [tex]=\sqrt{6^2+10^2}[/tex]

                                            [tex]=\sqrt{36+100}\\ =\boldsymbol{11.7}[/tex]

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