The document discusses applying the Pythagorean theorem to solve for unknown sides of right triangles. It provides the formula c2 = a2 + b2 and shows steps for using it to find the length of the diagonal of a billboard that has sides of 5 meters and 12 meters. These steps include illustrating the triangle, writing the given values, substituting them into the formula, squaring the given values, adding them, taking the square root of the sum to find that the length of the diagonal is 13 meters.

1. Application of Equations with
Radicals & Rational Exponents
Hypotenuse
c
a
b
Leg
Leg

2. • Pythagorean Theorem
푐 = √푎2 + 푏2
a= √c²- b²
b= √c²-a²

3. Steps in
solving

4. Example
A community billboard
has sides 5 meters and 12
meters. What is the
length of it diagonal?

5. Step One:
Illustrate
12 M
5
M
???

6. Step Two
Write the given
a=5 b=12 c=?

7. Step 3
Write the formula
C = √a² +b²

8. Step 4
Substitute
C= √12²+ 5²

9. Step 5
Square the given
C= √144+ 25

10. Step 6
Add or Subtract
√169

11. Step 7
Find the roots
c= 13