Answer:
8.31
Step-by-step explanation:
use the pythagorean theorem
By using the Pythagorean theorem, we will see that the height is 8.31cm.
Assuming this is a right triangle, we can see that the height will be the missing cathetus of the triangle.
Then one cathetus measures 10cm and the hypotenuse measures 13cm, if we use the Pythagorean theorem we get:
[tex](10cm)^2 + c^2 = (13cm)^2\\\\c = \sqrt{(13cm)^2 - (10cm)^2} = 8.31 cm[/tex]
Thus, we conclude that the height is 8.31 cm
If you want to learn more about right triangles:
https://brainly.com/question/2217700
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