Respuesta :
15^2 + 8^2 = 225 + 64 = 289
square root 289 = 17
answer
length of the hypotenuse of the triangle = 17 cm (3rd choice)
square root 289 = 17
answer
length of the hypotenuse of the triangle = 17 cm (3rd choice)
Answer:
length of the hypotenuse = 17 cm
Step-by-step explanation:
To find the length of the hypotenuse of any triangle we use pythagorean theorem
[tex]c^2 = a^2 + b^2[/tex]
Where c is the hypotenuse
a and b are the legs of the triangle
Given : a= 8 cm, and b= 15 cm
We find hypotenuse C
[tex]c^2 = 15^2 + 8^2[/tex]
[tex]c^2 = 225 + 64[/tex]
[tex]c^2 = 289[/tex]
Take square root on both sides
c= 17
So length of the hypotenuse = 17 cm