Question

Use similar triangles
In the diagram below, TS is parallel to AL.
Find the length of BL.
If entering your answer as a decimal, round your final answer to the nearest hundredth.

Answer 1

Answer:

14.4

Step-by-step explanation:

Answer 2

The length of BL is 14.4 unit.        

Similar triangle :

Given that, In the diagram triangle BST and BLA are similar triangle.

So that, ratio of corresponding sides of triangle are same.

From given figure,

              $\frac{BS}{BL}=\frac{7.75}{12} \\\\\frac{BS}{BS+5.1}=\frac{7.75}{12}\\ \\ 7.75BS+39.525=12BS\\\\12BS-7.75BS=39.525\\\\4.25BS=39.525\\\\BS=39.525/4.25=9.3\\\\BL=BS+5.1=9.3+5.1=14.4$

Thus, the length of BL is 14.4 unit.                

Learn more about the similar triangle here:

https://brainly.com/question/14285697