14.
If a right triangle has one of leg measuring 27 inches and one leg measuring 23 inches, what is the length of the hypotenuse to the nearest inch? (1 point)
36
14
3
2
15.
The description of a TV is based upon the diagonal length. If the height of a TV is 24 inches and the width is 32 inches, what is the TV’s diagonal length? (1 point)
3
4
21
40
16.
Amelia hikes 12 miles due east and then 5 miles due north. What is the shortest distance in miles back to where she began? (1 point)
13
11
6
4
I have absolutely no idea how to solve these problems! Please help!
Use the Pythagorean Theorem for all of these.
http://www.mathsisfun.com/pythagoras.html
thanks so the answers would be
14. 36
15. 40
16. 13
Yay! All are correct!
thanks!!!!
You're welcome.
1. D
2.B
3. D
4. A
5. A
6. A
7. C
8. C
9. A
10. A
11. A
12.D
13. B
14. A
15. D
16. A
17. C
18. B
19. D
These are for the Unit 4 Lesson 10 review. THESE ARE FOR CONNECTIONS ACADEMY
Sure, I can help you solve these problems! Let's take them one by one.
14. To find the length of the hypotenuse in a right triangle, you can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). In this case, you have one leg measuring 27 inches and another leg measuring 23 inches.
Using the Pythagorean theorem, you can calculate the length of the hypotenuse:
c^2 = a^2 + b^2
c^2 = 27^2 + 23^2
c^2 = 729 + 529
c^2 = 1258
To find the length of the hypotenuse, we need to find the square root of 1258:
c ≈ √1258 ≈ 35.46
Since we need to round to the nearest inch, the length of the hypotenuse is approximately 35 inches. So, the correct answer is not given in the options provided.
15. To find the diagonal length of the TV, we can use the Pythagorean theorem again. The height of the TV is 24 inches, and the width is 32 inches.
Using the Pythagorean theorem, you can calculate the diagonal length:
c^2 = a^2 + b^2
c^2 = 24^2 + 32^2
c^2 = 576 + 1024
c^2 = 1600
To find the diagonal length, we need to find the square root of 1600:
c ≈ √1600 = 40
So, the diagonal length of the TV is 40 inches. Therefore, the correct answer is option "40".
16. To find the shortest distance back to where Amelia began, we can draw a right triangle with one leg representing the distance she hiked due east (12 miles) and another leg representing the distance she hiked due north (5 miles).
To find the shortest distance back to the starting point, which is the hypotenuse of the right triangle, we can again use the Pythagorean theorem:
c^2 = a^2 + b^2
c^2 = 12^2 + 5^2
c^2 = 144 + 25
c^2 = 169
To find the shortest distance, we need to find the square root of 169:
c = √169 = 13
So, the shortest distance back to where Amelia began is 13 miles. Therefore, the correct answer is option "13".
I hope this helps you understand how to approach and solve these problems!