A Parallel Line With Algebra Sides

Triangles

A Parallel Line With Algebra Sides

CBSE Class 10 · Solve it one decision at a time. A wrong pick earns a nudge, never the answer.

Step 1 of 5

The problem

In △ABC,\triangle ABC, DD is on ABAB and EE is on ACAC with DE∥BC.DE \parallel BC. If AD=x+1,AD = x + 1, DB=3x−1,DB = 3x - 1, AE=x+3AE = x + 3 and EC=3x+4EC = 3x + 4 (all in cm), find xx and the length of AB.AB.

Step 1 · Your move

Since DE∥BCDE \parallel BC, which ratios are equal?

AD=x+1,DB=3x−1AD = x + 1,\quad DB = 3x - 1
AE=x+3,EC=3x+4AE = x + 3,\quad EC = 3x + 4
Helpful?