Question

Use the Two-Transversal Proportionality Corollary to find the value of x.

Answer 1

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

Length of DE = 13 cm

Length of EF = 26 cm

Length of BC = 12 cm

Length of AB = x cm

Using the Two transversal proportionality Corollary, we get that

$\dfrac{13}{13+26}=\dfrac{12}{12+x}\\\\\dfrac{13}{39}=\dfrac{12}{12+x}\\\\\dfrac{1}{3}=\dfrac{12}{12+x}\\\\12+x=12\times 3\\\\12+x=36\\\\x=36-12\\\\x=24\ cm$

Hence, The value of x is equal to 24 cm.

Therefore, Third option is correct.

Answer 2

I hope this helps you




12/12+x=13/13+26



12/12+x=13/39



12/12+x=1/3



12+x=36


x=24