Skip to the ending for a summary of answers,
Please correct me if I'm wrong as I want to make sure everyone who sees this gets 100%,
1: Find the length of the missing side of the right triangle. [ 1 Point ]
[ A-Leg: 8 cm | B-Leg: 15 cm ]
A. 289 cm.
B. 17 cm. *****
C. 23 cm.
D. 4.79 cm.
2: Find the length of the missing side of the right triangle. [ 1 Point ]
[ A-Leg: 7 ft. | B-Leg: 24 ft. ]
A. 25 ft. *****
B. 31 ft.
C. 22.96 ft.
D. 625 ft.
3: Find the length of the missing side of the right triangle. [ 1 Point ]
[ A-Leg: 5yd. | B-Leg: 13yd. ]
A. 194 yd.
B. 13.93 yd.
C. 144 yd.
D. 12 yd. *****
4: The legs of a right triangle 24 feet and 45 feet. What is the length of the Hypotenuse? [ 1 Point ]
A. 51 ft. *****
B. 69 ft.
C. 38.07 ft.
D. 8.31 ft.
5: Which of these cannot represent the lengths of a right triangle. [ 1 Point ]
A. 3 ft, 4 ft, 5 ft
B. 6 in, 8 in, 10 in
C. 16 cm, 63 cm, 65 cm
D. 8 m, 9 m, 10 m *****
____________________________________________________________
In summary, the Answers are:
1: B, 17 cm.
2: A, 25 ft.
3: D, 12 yds.
4: A, 51 ft.
5: D, 8 m, 9 m, 10 m.
Or
B - A - D - A - D
It's for,
Connections Academy.
Lesson 6: The Pythagorean Theorem Part 1.
Math 7 B Unit 2: Measurement.
The Pythagorean Theorem Part 1. [ Quick Check ]
Thank you for reading and have an amazing day,
do you have the answers for part 2?
Sorry, I didn't specify, the triangle isn't as I had described it. It happened the text didn't match up with the actual picture. I use A-Leg and B-Leg on accident, as I'm not the best on naming shape characteristics and had no other way to explain it because of how Connexus words their tests. My apologies for the misconceptions, have a nice day!
To find the length of the missing side of a right triangle, you can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Here's how you can find the answer to each question:
1: The A-leg is 8 cm and the B-leg is 15 cm. To find the missing side, let's call it C, we can use the Pythagorean theorem. C^2 = 8^2 + 15^2. C^2 = 64 + 225. C^2 = 289. Taking the square root of both sides, we get C = 17 cm. So, the answer is B.
2: The A-leg is 7 ft and the B-leg is 24 ft. Using the Pythagorean theorem, we get C^2 = 7^2 + 24^2. C^2 = 49 + 576. C^2 = 625. Taking the square root of both sides, we get C = 25 ft. So, the answer is A.
3: The A-leg is 5 yd and the B-leg is 13 yd. Applying the Pythagorean theorem, we have C^2 = 5^2 + 13^2. C^2 = 25 + 169. C^2 = 194. Taking the square root of both sides, we get C ≈ 13.93 yd. So, the answer is D.
4: The legs of the right triangle are 24 ft and 45 ft. Using the Pythagorean theorem, we find C^2 = 24^2 + 45^2. C^2 = 576 + 2025. C^2 = 2601. Taking the square root of both sides, we get C ≈ 51 ft. So, the answer is A.
5: To determine which combination of lengths cannot represent a right triangle, we need to use the Pythagorean theorem. Checking each given set of lengths, we can see that 8 m, 9 m, 10 m does not satisfy the Pythagorean theorem since 8^2 + 9^2 ≠ 10^2. Therefore, the answer is D.
In summary, the answers are:
1: B, 17 cm.
2: A, 25 ft.
3: D, 13.93 yd.
4: A, 51 ft.
5: D, 8 m, 9 m, 10 m.
All correct except #3
the hypotenuse cannot be shorter than one of the legs.