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In the given right triangle, find the missing length to the nearest tenth.

8.5 ft

7.9 ft

24.1 ft

25 ft

In the given right triangle, find the missing length to the nearest tenth. 8.5 ft-example-1
User Rauly
by
6.0k points

2 Answers

3 votes

Answer:

25 ft

Explanation:

a² + b² = c²

7² + 24² = c²

49 + 576 = c²

c² = 625

c = √625

c= 25

User Josh Bodah
by
6.0k points
5 votes

Answer:

D. 25 ft.

Explanation:

To find the missing length of any right triangle, you can use the Pythagorean Theorem (A^2+B^2=C^2) to solve. A and B represent the legs (which we do have) and C represents the hypotenuse (which we are trying to find). Insert our known values into the theorem, and we will get 24^2+7^2=C^2. Now we just do the basic math for the numbers that we have (24^2 is 576; 7^2 is 49), and that added up would equal to 625. Now, since C is being squared on the other side, we now have to root both sides. On the side where C is, the radical and the square will cancel out each other, leaving us with just C. But, on the side where 625 is, it should root to 25. Since C is by itself now, the number on the other side (25) will be our answer. Therefore, the missing side is 25 feet long.

User JanLeeYu
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5.0k points