AMC 8 Daily Practice Round 7

Complete problem set with solutions and individual problem pages

Problem 28 Easy

What is the length of BE?

  • A.

    10

  • B.

    11

  • C.

    12

  • D.

    13

  • E.

    14

Answer:D

Draw a perpendicular line from point B to FE, with the intersection point being G.

Then: BG = DE - BC = 5, EG = FE - AB = 12.

Since \triangle BGE is a right triangle, by the Pythagorean theorem:

BE = \sqrt{BG^2 + GE^2} = 13.

Related Problems
Problem 26 AMC 8 Daily Practice Round 7
Problem 27 AMC 8 Daily Practice Round 7
Problem 29 AMC 8 Daily Practice Round 7
Problem 30 AMC 8 Daily Practice Round 7
Think Academy Powered by ChatGPT