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.
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
False, because doubling the sides of the triangle does not keep the angles congruent
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1 answer
The correct response is:
True, because multiples of a right triangle triple produces a similar right triangle with congruent angles.
When you multiply the sides of a right triangle by the same positive factor (in this case, 2), the resulting triangle maintains the property of being a right triangle. In this example, the sides 5, 12, and 13 form a right triangle, and multiplying each side by 2 gives the sides 10, 24, and 26, which also form a right triangle with the same angles.
