Respuesta :
Answer:
D
Step-by-step explanation:
Using Pythagoras' identity on the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
AB² = 7² + 4² = 49 + 16 = 65 ( take the square root of both sides )
AB = [tex]\sqrt{65}[/tex] → D
The length of the hypotenuse of the triangle is [tex]\sqrt{65}[/tex] .
What is right angled triangle?
A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any one angle is a right angle.
Given
Side AC = 7 feet
Side CB = 4 feet
To find unknown side AB in a right triangle
Using Pythagoras theorem on the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, i.e.,
AB² = 7² + 4² = 49 + 16 = 65 ( take the square root of both sides )
AB = [tex]\sqrt{65}[/tex]
Hypotenuse AB is [tex]\sqrt{65}[/tex].
Hence, the length of the hypotenuse of the triangle is [tex]\sqrt{65}[/tex] .
Learn more about right angle triangle here
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