The lengths of the legs of a right triangle are 8 cm and 15 cm.


What is the length of the hypotenuse?



46 cm

23 cm

13 cm

17 cm

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

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.