body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Dashboard

Core Connections: Course 3 View details

2. Section 9.2

Continue to next subchapter

Exercise 139 Page 440

Use the Pythagorean Theorem.

25m

Practice makes perfect

To find the missing side length 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=60cm and c=65cm.

Let's substitute these values into the formula.

a^2+b^2=c^2

SubstituteII

a= 60, c= 65

60^2+b^2= 65^2

▼

Solve for b

CalcPow

Calculate power

3600+b^2=4225

SubEqn

LHS-3600=RHS-3600

b^2=625

SqrtEqn

sqrt(LHS)=sqrt(RHS)

sqrt(b^2)=sqrt(625)

SqrtPowToNumber

sqrt(a^2)=a

b=sqrt(625)

CalcRoot

Calculate root

b=25

Since a negative side length does not make sense, we only need to consider positive solutions.

Checking Our Answer

Let's Check!

We can check our answer by substituting the missing length that we found, which is the leg in this case, back into the equation. When we simplify both sides, they should be equal.

a^2+b^2=c^2

SubstituteValues

Substitute values

60^2+ 25^2? = 65^2

CalcPow

Calculate power

3600+625? =4225

AddTerms

Add terms

4225=4225 ✓