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 Integrated II, 2015 View details

2. Section 12.2

Continue to next subchapter

Exercise 138 Page 697

Use the Pythagorean Theorem.

sqrt(x^2+y^2)

Practice makes perfect

Examining the diagram, we see a right triangle with legs of length x and y. Bu using the Pythagorean Theorem we can find an expression for the hypotenuse.

a^2+b^2=c^2

SubstituteII

a= x, b= y

x^2+ y^2=c^2

RearrangeEqn

Rearrange equation

c^2=x^2+y^2

SqrtEqn

sqrt(LHS)=sqrt(RHS)

c=± sqrt(x^2+y^2)

c > 0

c= sqrt(x^2+y^2)