Question

If the dimensions of RAH are twice as large as the corresponding dimensions of EAC, calculate length of RA and AH . Then, explain if RAH~EAC

Answer 1

How would I be able to tell if the triangles are congruent? Can I use SAS postulate?

Answer 2

Since all side lengths of triangle RAH are twice the corresponding side lengths of triangle EAC, that means the lengths of corresponding sides are all in the same ration. That can only be if the triangles are similar.

Answer 3

They are not congruent. Congruent means they are the same size and shape. Here, they are the same shape, but one is larger than the other.

Answer 4

I meant similar. Would SAS postulate prove that RAH ~ EAC since they both have a 90 degree angle?

Answer 5

Is there any way they can be congruent. like doing the square root of 7 squared plus 12 squared?

Answer 6

Yes, there is SAS for similarity. You need the angle in between the sides to be congruent. As you say, they are both 90 degrees.

Answer 7

the triangles are similar so all sides are in the same ratio

Answer 8

Thank You guys so much!

Answer 9

You also need the ratio between two corresponding sides to be equal to teh ratio between the other two corresponding sides. The congruent angles are the angle of each triangle that is included by the sides.