Question

triangle jkl is similar to triangle tuv. find the missing side length of triangle tuv. JK=10in JL=8in KL=13in TU=7.5 UV=9.75 find TV

Answer 1

TV=6 inch

Explanation:

If Triangle JKL is similar to Triangle TUV, the following ratio applies.

`(JK)/(TU)= (KL)/(UV)=(JL)/(TV)\\$JK=10in., JL=8in., KL=13in., TU=7.5., UV=9.75\\(10)/(7.5)= (13)/(9.75)=(8)/(TV)\\$Picking any two equal ratios\\ (13)/(9.75)=(8)/(TV)\\$Cross multiply\\13*TV=8*9.75\\TV=8*9.75 / 13\\$TV=6 inch`