Respuesta :
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]
Find out more information about right triangle here:
https://brainly.com/question/7894175?referrer=searchResults
