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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

3. Arcs and Chords

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Exercise 51 Page 740

If a parallelogram is a rhombus, then its diagonals are perpendicular.

y= 11

Practice makes perfect

We want to find the value of y. Let's replace m∠ 3 with the given equation's right-hand side.

We are given that WXYZ is a rhombus. This means the diagonals are perpendicular which means m∠ 3 must be a right angle. y^2-31^(∘) = 90^(∘) Let's solve this equation.

y^2-31^(∘)=90^(∘)

▼

Solve for y

LHS+31^(∘)=RHS+31^(∘)

y^2=121^(∘)

sqrt(LHS)=sqrt(RHS)

y=± 11^(∘)

y > 0

y=11^(∘)

Subchapter links

Exercises p.736-740