AMC 8 Daily Practice - Pythagorean Theorem

Complete problem set with solutions and individual problem pages

Problem 3 Easy

What is the length of BE?

  • A.

    10

  • B.

    11

  • C.

    12

  • D.

    13

  • E.

    14

Answer:D
Solution

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 1 AMC 8 Daily Practice - Pythagorean Theorem
Problem 2 AMC 8 Daily Practice - Pythagorean Theorem
Problem 4 AMC 8 Daily Practice - Pythagorean Theorem
Problem 5 AMC 8 Daily Practice - Pythagorean Theorem
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