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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

4. Rectangles

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Exercise 11 Page 508

Recall that in a rectangle all angles are right angles.

≈6.3 ft

Practice makes perfect

We are asked to find the measure of DB using the given information. Let's recall that in a rectangle all angles are right angles.

Since all angles in a rectangle are right, triangle DAB is a right triangle. Therefore, to find the measure of DB, we can use the Pythagorean Theorem. a^2+b^2=c^2 In this formula, a and b are legs of a triangle and c is its hypotenuse. Since we know the measures of the legs, we can substitute 2 and 6 for a and b and solve for c.

a^2+b^2=c^2

a= 2, b= 6

2^2+ 6^2=c^2

▼

Solve for c

Calculate power

4+36=c^2

Add terms

40=c^2

Rearrange equation

c^2=40

sqrt(LHS)=sqrt(RHS)

sqrt(c^2)=sqrt(40)

SqrtPowToNumber

sqrt(a^2)=a

c=sqrt(40)

Calculate root

c=6.32455...

Round to 1 decimal place(s)

c≈ 6.3

Therefore, the measure of the diagonal DB is approximately 6.3 feet.

Subchapter links

Exercises p.508-511