Will a triangle with sides measuring 3, 4, and 5 be a right triangle?

Answer 1

Yes, it will always be a right triangle. Triangles are unique, unlike four or more sided polygons, because the lengths of the sides uniquely determine the shape of them. A 3-4-5 triangle will always be a right triangle.

Answer 2

Yes. Pythagoras draw in the sand a 3x3 square, a 4x4 square making a right angle with one of their corners and a 5x5 square closing the triangle. So he wrote the equation, known nowadays as the Protagoras' theorem:

a^2+b^2=c^2

where a and b are the two sides of the triangle that make the right angle. Their name in Greek is catetos; c is the side of the triangle that doesn't touch the right angle and it's known in Greek as hypotenuse.

Answer 3

It could be, as long as two of those sizes join to form a 90 degree angle, you have a right triangle. It does not matter what the sides measure in identifying a right triangle, it matters about the angles

Answer 4

yes because 3^2+4^2=9+16=25=5^2

Answer 5

The answer is that it will always be a right triangle. It would never qualify as obtuse because right triangles can never qualify as obtuse as the other sides are both less than 90 degrees.

Answer 6

Yes. I use the 3-4-5 method to check for square.

Answer 7

yes by pythagorus theorem,
b2+p2=h2; where b is base, p is perpendicular & h is hypotenuse then its a rt. ang. triangle( where 2 in above equation is power of b , p & h)
acc. to question, 3sq. +4sq.=25
again 5sq.=25
thus proved

Answer 8

Yep - Pythagoras said so.

a^2 + b^2 = c^2

Answer 9

nope that would be obtruse. the 1 your looking for has 2 sides the same and 1 different.

Answer 10

Yes it is
3,4,5 is a Pythagorean set
Also any multipile of 3,4,5 (like 6,8,10) is too
the next pythagorean set is 13,12, 5
can you find another?