# math ( help)

posted by Homework

If I told you a triangle with sides 45 cm, 60 cm, and 75 cm was a right triangle, how would you verify my statement? Develop an argument to convince yourself and your partner that my statement is correct.

1. Steve

it's just a scaled-up 3-4-5 right triangle.

You can check to see whether 45^2 + 60^2 = 75^2

it does

2. Ms. Sue

45^2 + 60^2 = 75^2 ??

2025 + 3600 = 5625

5625 = 5625

Yes! The Pythagorean Theorem proves it's a right triangle.

3. Damon

I know that a 3, 4 , 5 triangle is a right triangle
but I can prove it easily anyway because
9 + 16 = 25 or in other words a^2+b^2=c^2

now multiply each side by 15 and get
45, 60 , 75 :)

## Similar Questions

1. ### Geomentry

What is the converse of the theorem statement: If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally. If two sides of a triangle are divided in the same proportion, …
2. ### math

Determine whether the following argument is correct. If itâ€™s not correct, explain what is wrong with the argument and change the minor premise to make a correct argument. If a triangle is equilateral, then it has three equal sides. …
3. ### Math

The sides of a triangle have the equations y=-1/2x+1, y=2x-4, and y=-3x-9. Verify that the triangle is an isosceles right triangle. Algebraic solutions only!
4. ### math

A triangle has sides of lengths 9 cm, 40 cm, and 41 cm. Which statement is true about this triangle?
5. ### math

Lara wrote the statements shown in the chart. Statement One: If two lines intersect, then they intersect at exactly one point Statement Two: In a right triangle, the square of the length of the hypotenuse is equal to the sum of the …
6. ### math

Determine whether the following argument is correct. If it's not correct, explain what is wrong with ther argument and change the minor premise to make a correct argument. If a triangle is equilateral, then it has three equal sides. …
7. ### Math

Write whether the statement is true or false. If false write a true statement. 1. A right triangle has three right angles. False a right triangle has 1 right angle 2. A triangle that has three sides of the same length is an equilateral …
8. ### Geometry

The contrapositive of the following conditional statement: If a figure has four sides, then it is not a triangle. A.If a figure does not have four sides, then it is a triangle. B.If a figure is a triangle, then it does not have four …
9. ### math plz check ;-; sorry

A triangle has sides of lengths 5 cm, 5 cm, and square root 47cm. Which of the following statements is true?
10. ### Geometry

31.Identify the Hypothesis of the statement below. If you are riding on a train, then it will stop at every station on the line. A.You are riding on a train B.It will stop at every station on the line C.You are not riding on a train …

More Similar Questions