If a right triangle has sides 5, 12, and 13 units, then a triangle with sides 10, 24, and 26 is also a right triangle.(1 point)

Question

If a right triangle has sides 5, 12, and 13 units, then a triangle with sides 10, 24, and 26 is also a right triangle.(1 point)

Responses

True, because multiples of a right triangle triple produces a similar right triangle with congruent angles.

False, because doubling the sides of the triangle does not keep the angles congruent

explain which one is correct

Answer 1

True, because multiples of a right triangle triple (such as 5-12-13) preserve the proportions of the sides and therefore produce a similar right triangle with congruent angles. So a triangle with sides 10, 24, and 26 would also be a right triangle.