Do these groups of numbers make a right triangle? 1.) 3,4,5 2.)9, 3, 5 and 3.) 25, 24,10?

Question

Geometry homework

Answer 1

1) is the answer as 3^2 + 4^2 = 5^2 but such relation doesn't exist in any other group

Remember Pythagorus theorem for right angled triangle: Hypotenuse^2 = Base^2 + Height^2

Moreover, in (2) the numbers doesn't represent sides of a triangle. For any three numbers to represent sides of a triangle, the sum of any two must be greater than the third. But here 3 + 5 = 8 < 9.

Answer 2

Only A will make a right triangle. A^2+B^2=C^2
1 3^2+4^2=5^2 (9+16)=25 True
2 9^2+3^2=5^2 (81+9)=25 False
3 25^2+24^2=10^2 (625+576)=100 False

Answer 3

We use the pythagorean theorem to find out the lengths of the sides of a right triangle: a^2 + b^2 = c^2. plug in the numbers to see if the left side equals the right side.. so 3^2 + 4^2 = 5^2 => 25= 25 so yes those numbers do make a right triangle.

Answer 4

In order to check if it is a right triangle you have to use Pythagorean Theorem, which states that a^2 + b^2= c^2. Therefore you just plug in the numbers, remembering that the biggest number is always c
So, for example, number 1.) 3,4,5.
3^2+4^2 = 5^2
9+16= 25
25= 25
Therefore, number 1 is true
Do the same for 2) and 3)

Answer 5

1)3,4,5 if you use some unimaginable ways to solve it, you will see that it is a 30, 60, 90 right triangle, all others like choice 2 has 4 sides which obviously isnt a triangle at all, 25, 24, 10 doesnt tie in, so 3,4,5 is your answer

Answer 6

A squared plus B squared = C squared right? so you just plug that in, where the two smaller numbers are A and B and the largest is C.

1.) yes, 9 plus 16 = 25.
2.) no, 9 plus 25 does not equal 81.
3.) no, 100 plus 576 does not equal 625.

Answer 7

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