In a triangle, the sum of the lengths of the two shorter sides is 13 inches. What do
you know about the length of the third
side?

The length of the third side is less than 13.

Step-by-step explanation:

In any given triangle the sum of any two sides is longer than the length of the third side.

This means that the length of the third side has to be less than 13, since that is the sum of the lengths of the two shorter sides.

step-by-step explanation:

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)