33.7k views
5 votes
What is the length of x? What is the length of EF? Only enter numbers in the answer boxes below:

What is the length of x? What is the length of EF? Only enter numbers in the answer-example-1
User London
by
8.2k points

1 Answer

3 votes

Focus on triangles DFC and DFE:

  • They are both right triangles because DF is perpendicular to EC
  • DC=DE
  • DF is a common side

So, the two triangles are congruent. It follows that CF=FE, and in particular


8x=3x+15 \iff 5x=15 \iff x=3

And since x=3, the length of EF is


EF=3x+15=3\cdot 3+15=24

User Midhun Vijayakumar
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories