the length of two sides of a triangle are 8cm and 15cm. between which two numbers will the third side of the triangle lie

7 and 22

Step-by-step explanation:

The Sum of any Two Sides of a Triangle is Greater than the Third Side.

The third side = x

x < 8 + 15

x < 23

8 < x + 15

Can be any number in between 1 and 22.

15 < x + 8

Should be a number in between 7 and 22.

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.