AMC 8 Daily Practice Round 7

Complete problem set with solutions and individual problem pages

Problem 27 Easy

The figure below consists of three right triangles. What is the value of x?

  • A.

    4\sqrt{2}

  • B.

    6

  • C.

    7

  • D.

    \sqrt{57}

  • E.

    8

Answer:C

Since all three triangles in the figure are right triangles, we apply the Pythagorean theorem: x^2 = (1^2 + 6^2 + 4^2) - 2^2

x^2 = 49

x = 7

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