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McGraw Hill Integrated II, 2012 View details

Study Guide and Review

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Exercise 34 Page 534

Use the Pythagorean Theorem.

3sqrt(7)

Practice makes perfect

Let's analyze the given rhombus. Recall that the diagonals of a rhombus are perpendicular.

Notice that △ ABE is a right triangle. To find the length of AE we can use the Pythagorean Theorem. AE^2 + EB^2 = AB^2 We already know that AB = 12 and EB = 9. Let's substitute these values into the above equation and solve for AE.

AE^2 + EB^2 = AB^2

SubstituteII

AB= 12, EB= 9

AE^2 + 9^2 = 12^2

CalcPow

Calculate power

AE^2 + 81 = 144

SubEqn

LHS-81=RHS-81

AE^2 = 63

SqrtEqn

sqrt(LHS)=sqrt(RHS)