Check Similarity in Right Triangles Calculator

Two right triangles will be similar if any of the following conditions are satisfied: The set of 3 angles in both triangles are the same; or The corresponding side lengths of the triangles are proportional. This proportionality constant is called the scale factor.

Yes! A 6-8-10 triangle is similar to a 3-4-5 triangle because it is obtained by multiplying each side of the 3-4-5 triangle by 2! You may also verify it as follows: Take the ratio of the sides 6 and 3, which would give us 2. Find the ratio of sides 8 and 4, which would also give us 2. Calculate the ratio of the final pair of sides (10 and 5), which would also lead us to 2. Since all 3 pairs of sides are proportional with the same proportionality constant (2), a 3-4-5 triangle will be similar to a 6-8-10 triangle!

Yes! 6, 8, and 10 form a Pythagorean triplet because the square of the largest side is equal to the sum of squares of the other 2 sides, which is the definition of the Pythagorean theorem. This can be verified as follows: The square of the largest side (10) is 100. The square of 6 is 36. The square of 8 is 64. Since 100 is equal to the sum of 36 and 64, these numbers (6, 8, and 10) form a Pythagorean triplet!