How do you determine if something is a right triangle by just looking at 3 random numbers. Eg. 16in, 63in, 65

Question

How do you determine if something is a right triangle by just looking at 3 random numbers. Eg. 16in, 63in, 65in.. Yeah..

Oh yeah, i remember learning that, just making sure. (Haven't been to school for 2 weeks due to flooding, i completely forgot about work haha) Thanks for the help.

Answer 1

The square of the largest number must be the sum of the squares of the smaller two numbers.

Answer 2

If the triangle in question were a right triangle then the Pythagorean rule would apply: a^2+b^2=c^2.

So, given a set of three positive numbres a,b,c where a and b are both less than c (a,b
In your case, 16 and 63 are less than 65 so
does 16^2+63^2=65^2??
256+3969=4225 and 65^2=4225
so 16^2+63^2=65^2
Therefore a triangle of sides 16,63,65 is a right triangle

Answer 3

You can use the 3-4-5 rule . . . if the sides are in proportion to each other, 3,4,5, then the triangle is a right triangle with one interior angle being 90 deg. Other right triangles exist of course.

You can have an isosceles right triangle, where two sides are the same length, then you'd use the Pythagorean theorem:
a^2 + b^2 = c^2, where a & b are the equal length sides, c would be the hypotenuse (longest side). This formula works on any right triangle too, not just isosceles.

There's two ways for ya . . have fun!

Answer 4

Use Phythagoras theorm.
You may note the few numbers, such as

3, 4, 5:
Biggest is 5, 5x5 is 25. Also 3x3 = 9, 4x4 = 16
and 9 + 16 = 25
This is a right angle triangle

Any multiple of these numbers will also be right angle triangles
6, 8, 10

Here are some more:
5, 12, 13
1, 1, sqrt(2)

Answer 5

Apply the converse of the Pythagorean theorem. Assume c is the largest number in your triplet and the other two numbers are a and b. IF a² + b² = c², then the triangle is a right triangle.

Just so you know this can be extended a little bit farther, if...

a² + b² > c², then it's an acute triangle

a² + b² < c², then it's an obtuse triangle

Answer 6

It is a right triangle if the sum of the 2 smaller sides squared equals the longer side squared.

a^2+b^2=c^2

In your case the sides do work in the formula
So it is a right triangle with a hypotenuse of 65 and sides of 16 and 63.
.

Answer 7

if the squares of the 2 smaller sides = the square of the biggest side then its a right triangle (the A^2 + B^2 = C^2 pythagorean theorem)

Answer 8

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Answer 9

if A squared + B squared = C squared then it's a right triangle.

Answer 10

a^2+b^2=c^2
pythagorean theorem