Two triangles are shown. the first triangle has sides x, 6 cm, and 12 cm, and the second triangle has corresponding sides 20 cm, 8 cm, and 16 cm. the two triangles above are similar. find x using the ratio of the sides 12 cm and 16 cm: x 20 = 12 16 . show your work. find x using the ratio of the sides 6 cm and 8 cm. show your work. explain why the answers to (a) and (b) should be the same.

Given the two triangles are shown:

First triangle has sides x cm , 6 cm and 12 cm.

and

Second  triangle has sides 20 cm , 8 cm and 16 cm.

Since, the given two triangles are Similar.

⇒there corresponding sides are in proportion.

i,e

(a)

Solve for x;

By cross multiply we have;

Divide both sides by 16 we get;

cm

(b)

Find x using the ratio sides:

By cross multiply we have;

Divide both sides by 8 we get;

or

cm

The value of x =15 cm in both a and b is same because the given two triangles are similar,

by definition of similarity, the given triangles have their corresponding sides are in proportion.

7. 153.86 ft

8. 12.56 ft

9. 78.5 m

10. 379.94 in

11. 132.665 m

12. 12.56 yd

13. 226.865 ft

14. 113.04 ft

15. 63.585 ft

16. 254.34 m

17. 50.24 cm

step-by-step explanation:

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