Solving Equations by Factoring: Using short multiplication formulas

Examples with solutions for Solving Equations by Factoring: Using short multiplication formulas

Exercise #1

A right triangle is shown below.

x>1

Find the lengths of the sides of the triangle.

x+2x+2x+2xxxx+4x+4x+4

Video Solution

Answer

6,8,10 6,8,10

Exercise #2

A right triangle is shown below.

x>1


Calculate the lengths of the sides of the triangle.

x+9x+9x+9x+2x+2x+2x+10x+10x+10

Video Solution

Answer

5,12,13 5,12,13

Exercise #3

In front of you is a square.

The expressions listed next to the sides describe their length.

( x>-2 length measurements in cm).

Since the area of the square is 16.

Find the lengths of the sides of the square.

161616x+2x+2x+2

Video Solution

Answer

4

Exercise #4

In front of you is a square.

The expressions listed next to the sides describe their length.

( x>-4 length measurements in cm).

Since the area of the square is 36.

Find the lengths of the sides of the square.

363636x+4x+4x+4

Video Solution

Answer

6

Exercise #5

In front of you is an isosceles right triangle.

The expressions listed next to the sides describe their length.

( x>-5 length measurements in cm).

Since the area of the triangle is 12.5.

Find the lengths of the sides of the triangle.

12.512.512.5x+5x+5x+5

Video Solution

Answer

5,5,52 5,5,5\sqrt{2}

Exercise #6

In front of you is an isosceles right triangle.

The expressions listed next to the sides describe their length.

( x>-8 length measurements in cm).

Since the area of the triangle is 32.

Find the lengths of the sides of the triangle.

323232x+8x+8x+8

Video Solution

Answer

8,8,82 8,8,8\sqrt{2}