Answered

Quadrilateral ABCD is similar to quadrilateral EFGH. Find the measure of side GH. Round your answer to the nearest tenth if necessary.
C
H
G

B
21
Submit Answer
E

Quadrilateral ABCD is similar to quadrilateral EFGH Find the measure of side GH Round your answer to the nearest tenth if necessary C H G B 21 Submit Answer E class=


Answer :

procrammer

Answer:

8.4 cm

Step-by-step explanation:

When 2 shapes are similar, that means that the ratio of the same sides are equal to the other ratio of same side.

That means that the ratio of DA and HE (or vice versa) is equal to the ratio of DE and GH (or vice versa). Hence we can equate it:

HE/DA= HG/DC make sure to keep the same format, small/big=small/big or big/small=big/small.

Lets take HG as x and substitute the values:

21/5=x/2

5x=21 × 2 (cross multiplication)

5x= 42

x= 42/5= 8.4 cm

We can check our answer by seeing if the ratios are same.

21/5= 4.2, 8.4/2= 4.2.