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annadel4547
14.07.2021 •
Mathematics
The legs of a right triangle have the following measurements: 5 and 10 inches. What is the length of the hypotenuse?? show work.
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Ответ:
Step-by-step explanation:
1.![5^2 +10 ^2 = c^2](/tpl/images/1394/1966/0564c.png)
2.![c^2 = 125](/tpl/images/1394/1966/dd49b.png)
3.![c = 5\sqrt{5}](/tpl/images/1394/1966/6b0ec.png)
Ответ:
approximately 11.18 inches or
inches
Step-by-step explanation:
We have to use Pythagorean Theorem for this problem. a^2 + b^2 = c^2, where c is the hypotenuse and a/b are legs of the right triangle.
5^2 + 10^2 = c^2, 25 + 100 = c^2, 125 = c^2, sqrt125 = c
sqrt125 can be simplified to 5sqrt5 (25 * 5 = 125, sqrt25 = 5)
The hypotenuse is approximately 11.18 inches or
inches.
Ответ:
Hope this helped!