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.

A.15 + 36 > 41, so the side lengths will form a triangle
B.15 + 36 does not equal 41, so the side lengths will not form a triangle
C.15^2 + 36^2 = 1521
D.41^2 = 1681
E.Since a^2 + b^2 does not equal c^2, it will not equal a right triangle
F.15^2 + 36^2 = 297
G.41^2 = 82

Please select all that apply, Thank You!

There is more to this one ... but:
A to make sure the sum of the legs is longer than the hypothenuse,
C - give you the sum of the squares of the legs
D - the square of the hypothenuse

C should equal D for the triangle to be right

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AFOKE88 AFOKE88 · Answer 2 · 2022-01-21T14:58:19+01:00

The statements that she should consider to determine whether it will be a right angle triangle are; A, C, D and E.

Pythagorean Theorem

When trying to find the side lengths of a right angle triangle, the pythagoras theorem usually comes in very handy and this has a formula;

a² + b² = c²

Where a and b are legs of the triangle while c is the hypotenuse which is always the longest side.

Now, we have 15, 36, and 41 as side lengths of a right angle triangle.

For this to form a Right angle triangle, using the Pythagoras theorem gives us;

15² + 36² = 41²

Let us check the left hand side;

225 + 1296

>> 1521

Let us check the right hand side;

41² = 1681

The left hand side does not equal the right hand side and so it will not equal a right angle.

From our steps above, the correct statements are A, C, D and E.

Read more on the pythagorean theorem at; https://brainly.com/question/18404560