Question

Mrs. Ibarra wants to create a right triangle for a geometry test. She plans to use 15, 36, and 41 as side lengths. Which statements should she consider to determine whether it will be a right triangle? Check all that apply. 15 + 36 greater-than 41, so the side lengths will form a triangle. 15 + 36 not-equals 41, so those lengths will not form a triangle. 15 squared + 36 squared = 1,521 41 squared = 1,681 Since a squared + b squared not-equals c squared, it will not be a right triangle. 15 squared + 36 squared = 297 41 squared = 82

Answer 1

Answer: The answer is A,C,D,E

Step-by-step explanation:

I took the test.

Answer 2

Answer:

Option (3): 15 squared + 36 squared = 1521, 41 squared = 1681. Since a squared + b squared not equals c squared, it will not be right triangle.

Step-by-step explanation:

Given :length of the sides of a triangle 15, 36 and 41.

To find : To check whether the given triangle is a right triangle.

Solution :  

Since three measures of the triangle are given, we need to check whether it is a right triangle or not.

The given first two statements does not involve in checking the right triangle. It is given only to check whether it is a triangle. So those two should not be considered.

15 squared + 36 squared = 297 is itself not a correct answer. So the last statement should not be considered.

now, the third option:

We apply Pythagoras theorem to prove the right angled triangle.

According to Pythagoras property,

In a right angled triangle, the squares on the hypotenuse is equal to the sum of the squares on the other two sides.

Here the greatest length 41 is the hypotenuse.

By Pythagoras property, a² + b² = c²

let a = 15 , b = 36 and hypotenuse c = 41

Then, 15² + 36² = 225 + 1296 = 1521.

 c² = 41² = 1681.

Now, 1521 ≠ 1681. That is 15² + 36² ≠ 41².

so Pythagoras property does not holds.

∴ The given triangle is not a right triangle.

So, she can consider the following statement to check whether it will be a right triangle.

15 squared + 36 squared  = 1521, 41 squared = 1681. Since a squared + b squared not equals c squared , it will not be a right triangle.

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