Which of the following three sets of lengths could be used to form a right triangle A 39,15 and 36

Mathematics

2 answers:

laila [671]2 years ago

7 0

Step-by-step explanation:

To find a set of 3 leg lengths that will form a right-angled triangle, the square of the largest leg must be equal to the sum of the squares of the other 2 legs.

We try out all the options:

39² = 1521, 15² + 36² = 1521.

12² = 144, 8² + 4² = 80.

17² = 289, 13² + 9² = 250.

Since 39² equals 15² + 36², option A is the correct answer.

Pavel [41]2 years ago

5 0

We must find out 3 angles to make a right triangle.

The formula is c² = a² + b².

We know that the longest angle is equal to the other two angles.

Now, let's work this problem out.

Option A

39² = 1521

15² + 36² = 1521.

Option B

12² = 144

8² + 4² = 80.

Option C

17² = 289

13² + 9² = 250.

39² = 15² + 36², so the answer is A.

✔️ Hence, verified. ✔️

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Read 2 more answers

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ch4aika [34]

Please refer to my image where it shows my work as I’m explaining.

Okay, for system 1:

1. I am using the elimination method to solve. So I check if all the terms are lined up and if any are the same. I found that 2X are common in both equations.

2. The goal is to “eliminate” the term hence the name. So I can choose to add or subtract. I chose subtraction because 2 - 2 equals 0 which is our goal. Solve for the rest of the terms. This will lead to getting y =4. Refer to image for the work.

3. Last step to to find the X value. We do this by picking any of the given equations,then substitute y with 4 and solve to eventually get x = 10. Refer to image for the work.

FOR SYSTEM 2:

1. Again, I am using the elimination method to solve. I noticed that NONE of the terms are in common so I will have to intervene. You can chose any term to create a match with but I chose Y since it was the one I could use the smallest number to multiply with. When multiplying, DONT just multiply Y, multiply ALL the terms in the equation or else everything will crash.

2. Now that I have terms in common I can choose to add or subtract. I chose subtraction because 2-2 equals zero which is what we want. Solve look at image for my process which lead to X = -8

3. Last step is to find the value of Y. Chose any of the given equations in system 2 then substitute x with -8. Refer to image to see process. It lead to y = 20

To check the validity of the answers, substitute the x and y values into both equations both side of the equal side should have the same number. Hope that helped!