USING TRIANGLE PROPORTONALITY THEOREM FIND THE MISSING LENGTH

Problem 1 :

Solution :

Line segment ED is parallel to the side AC.

By Triangle Proportionality Theorem,

So, the missing length is 144.

Problem 2 :

Solution :

Line segment ED is parallel to the side AC.

By Triangle Proportionality Theorem,

So, the missing length is 12.

Problem 3 :

Solution :

Line segment AB is parallel to the side DE.

By Triangle Proportionality Theorem,

So, the missing length is 36.

Problem 4 :

Solution :

Line segment DE is parallel to the side BC.

By Triangle Proportionality Theorem,

So, the missing length is 14.

Problem 5 :

Solution :

Line segment DE is parallel to the side BC.

By Triangle Proportionality Theorem,

So, the missing length is 52.

Problem 6 :

Solution :

Line segment AB is parallel to the side DE.

By Triangle Proportionality Theorem,

So, the missing length is 128.

Problem 7 :

Solution :

Line segment ED is parallel to the side AC.

By Triangle Proportionality Theorem,

So, the missing length is 50.

Problem 8 :

Solution :

Line segment ED is parallel to the side BC.

By Triangle Proportionality Theorem,

So, the missing length is 30.

Problem 9 :

Solution :

Line segment ED is parallel to the side CB.

By Triangle Proportionality Theorem,

So, the missing length is 6.

Problem 10 :

Solution :

Line segment BC is parallel to the side DE.

By Triangle Proportionality Theorem,

So, the missing length is 36.