Question

Are the triangles Similar? (yes or no). If yes, by what

Answer 1

Answer:

The triangles are not similar

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

Triangle X.Y.Z

$\angle X=61^o$

$\angle Z=90^o$

$\angle Y=90^o-61^o=29^o$ ---> angle X and angle Y are complementary angles

Triangle H.G.J

$\angle H=90^o-34^o=56^o$ ---> angle H and angle J are complementary angles

$\angle G=90^o$

$\angle J=34^o$

so

X.Y.Z is a$61^o-90^o-39^o$ triangle

H.G.J is a$56^o-90^o-34^o$ triangle

The measure of its corresponding angles are not congruent

therefore

The triangles are not similar