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Big Ideas Math Geometry, 2014 View details

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Exercise 2 Page 486

Use the Pythagorean Theorem.

The Value of x: sqrt(113)
Do the Side Lengths Form a Pythagorean Triple? No.

Practice makes perfect

To find the missing side of the triangle, we will use the Pythagorean Theorem. a^2+b^2=c^2

In the formula, a and b are the legs and c is the hypotenuse of a right triangle. We are given a triangle with a=8, b=7, and c=x.

Let's substitute these values into the formula.

a^2+b^2=c^2

SubstituteValues

Substitute values

8^2+ 7^2=x^2

▼

Solve for x

CalcPow

Calculate power

64+49=x^2

AddTerms

Add terms

113=x^2

SqrtEqn

sqrt(LHS)=sqrt(RHS)

sqrt(113)=x

RearrangeEqn

Rearrange equation

x=sqrt(113)

UseCalc

Use a calculator

x = 10.630145...

Since a negative side length does not make sense, we only need to consider positive solutions. Calculating the root, we can see that x is not an integer. Therefore, the side lengths do not form a Pythagorean Triple.

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Exercises p.486

Exercise 2 Page 486

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