Which are the possible side lengths of a triangle? 3 cm, 5 cm, 9 cm 4 cm, 8 cm, 10 cm 6 cm, 9 cm, 17 cm 8 cm, 10 cm, 18 cm

- 4 cm, 8 cm, 10 cm are the possible side lengths of a triangle.

Explanation:-

We know that in a triangle the sum of any two sides of a triangle must be greater than the third side.

Given :

1. Measurement of first triangle=3 cm, 5 cm, 9 cm

Now, for triangle Sum of two sides > third side

⇒3+5>9

⇒8>9 , which is not true.

∴ Triangle with these side lengths is not possible.

2.Measurement of second triangle=4 cm, 8 cm, 10 cm

Now, for triangle Sum of two sides > third side

⇒4+8>10⇒12>10, which is true.

⇒8+10>4⇒18>4, which is true.

⇒4+10>8⇒14>8, which is true.

∴Triangle with these side lengths is possible.

3. Measurement of third triangle=6 cm, 9 cm, 17 cm

Now, for triangle Sum of two sides > third side

⇒6+9>17⇒17>17 , which is not true.

∴Triangle with these side lengths is not possible.

4. Measurement of fourth triangle=8 cm, 10 cm, 18 cm

Now, for triangle Sum of two sides > third side

⇒8+10>18⇒18>18 , which is not true.

∴Triangle with these side lengths is not possible.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

d is the answer

step-by-step explanation: