Question

Triangle TRS is rotated about point X, resulting in triangle BAC. If AB = 10 ft, AC = 14 ft, and BC = 20 ft, what is RS?

Answer 1

As we can notice, after rotation the two triangles are congruent. This means that every angles and side of the first triangle is equal to the respecting angle and side of the other triangle. For the given problem, TR=AB, AC=RS, TS=BC and m(<RTS) = m(<ABC), m(<RST) = m(<ACB) and m(<TRS) = m(<BAC) . So as I said before to answer the question we know that RS=AC=14.

Answer 2

Triangle TRS is rotated about point X, resulting in triangle BAC. Hence, The length of RS = AC= 14.

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

We have seen that the rotation of the two triangles is congruent.

Triangle TRS is rotated about point X, resulting in triangle BAC.

For the given;

TR=AB, AC=RS, TS=BC

If AB = 10 ft, AC = 14 ft, and BC = 20 ft

∠RTS = ∠ABC,

∠RST) = ∠ACB

∠TRS = ∠BAC

Hence, The length of RS = AC= 14.

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https://brainly.com/question/16921692

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