Question

Explain if triangle ZHY is similar to triangle JHI. Justify your answer given the following information: HY = 3, YZ = 6, HZ = 7 and YI = 3, IJ = 12, HJ = 14

Answer 1

@perl

Answer 2

@zzr0ck3r

Answer 3

If two triangles have three pairs of sides in the same ratio, then the triangles are similar.

Answer 4

do we have to solve anything or is that it?

Answer 5

so you need to show which sides are in ratio

Answer 6

Using the given lengths

Answer 7

my draw button does not work, but see if you can label the lengths

Answer 8

@perl

Answer 9

@perl u there?

Answer 10

yes

Answer 11

3/3 = 7/14

Answer 12

3 / (3 + 3) = 7/14 , so that checks

Answer 13

HL = 3 + 3

Answer 14

oh ok give me a sec

Answer 15

wait am i supposed to solve that?

Answer 16

so there are three ratios, where I am comparing side of smaller triangle to side of larger triangle.

HY / HI
HZ / HJ
YZ / IJ

if all three of these ratios are equal , the two triangles are similar

Answer 17

HY / HI = 3 / (3 + 3 ) = 1/2

HZ / HJ = 7 / 14 = 1/2

YZ / IJ = 6/12 = 1/2

By SSS similarity postulate, the two triangles are similar
http://www.mathsisfun.com/geometry/triangles-similar-finding.html

Answer 18

oh wow thank you so much!