Respuesta :
By Pythagorean Theorem, a^2 + b^2 = c^2
so 8^2 +15^2 = c^2
64+225 = 289
sqr rt of 289 is 17
so 8^2 +15^2 = c^2
64+225 = 289
sqr rt of 289 is 17
The length of the hypotenuse is 17 cm. Option D shows the correct value of the hypotenuse.
What is a right-angle triangle?
A triangle that contains one of its angles is a right angle or 90 degrees is called a right-angle triangle.
Given that, for a right-angle triangle, L = 8 cm, B = 15 cm.
The hypotenuse is calculated by the property of a right-angle triangle.
[tex]H^2 = L^2 + B^2[/tex]
[tex]H^2 = 8^2 + 15^2[/tex]
[tex]H^2 = 289[/tex]
[tex]H = 17[/tex]
Hence we can conclude that the length of the hypotenuse is 17 cm. Option D shows the correct value of the hypotenuse.
To know more about the right-angle triangle, follow the li nk given below.
https://brainly.com/question/3770177.