The ABC Toy Company is creating two similar pieces for a board game, as shown below. Find the value of y that makes the two pieces similar. Triangle GHI is shown with sides GH marked as 4, GI marked as 6, and HI marked as x. Triangle JKL is shown with sides JK marked as 8, JL marked as y, and KL marked as z. Numerical Answers Expected! Answer for Blank 1:

Step-by-step explanation:

Given

Triangles GHI and JKL

See attachment for illustration

Required

Find the value of y

We have:

Sides GH and JK are similar

Sides GI and KL are also similar

Since both triangles are similar, then the ratio of similar sides must be equal.

Equate both ratios

Substitute values for GH, GI, JK and JL

Convert to fractions

Cross Multiply

28

step-by-step explanation:

8+8+6+6

a=24; b=12

step-by-step explanation:

a/b=2: 1

a=2b

36/(1+2)=12

b=12

a=24