We will be showing you how to solve a Pythagorean Theorem problem step by step.

How to Solve a Diagonal Line

of a Rectangular Picture Frame

(Step by Step)

How long are the

diagonals of a 9" x 12" rectangular

picture frame?

STEPS:

1. a^{2} + b^{2} = c^{2}

^{2. Plug in the length x width}

^{3. Square it.}

^{4. Add your length x width}

^{5. Square Root it. To get final answer. }

Problem 1 :

Rectangular Picture Frame 9" x 12"

Diagonal through rectangle - triangle

Find missing length

a^{2} + b^{2 }= c ^{2}

12^{2} + 9^{2} = C^{2}

(12 x 12) + (9 x 9) = C^{2}

144 +81 + C^{2}

√225 = C^{2}

15 = C

Problem 2 :

How long are the diagonals of a 10" x 13'' rectangular picture frame?

10^{2}+ 13^{2}= C^{2 }

(10 x 10) + (13 x 13) = C^{2}

100 + 169 = C^{2 }

√269 = C^{2 }

C = 16.4

Problem 3:

How long are the diagonals of a 15" x 18" rectangular picture frame?

15^{2} + 18^{2} = C^{2}

(15 x 15) + (18 x 18) = C^{2}

225 + 324 = C^{2}

√549 = C^{2}

C = 23.43

Now you are ready for other harder problems. If you need help, just look back on the steps.

NOW WE HAVE TAUGHT YOU HOW TO SOLVE A PROBLEM.

CONGRATULATIONS, WE ARE SO SMART!