Geometry. find the indicated side of the triangle. include a clear answer and description if possible.

That is a right isosceles triangle, also known as a 45 45 90 triangle.

In such a triangle, the sides "a" and "b" are equal and they equal the hypotenuse multiplied by 1 / sq rt(2) or 0.7071067812

Sides "a" and "b" equal 7.071067812

Source 1728.com/trig2.htm

positive

step-by-step explanation:

the quadrant is facing upwards

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is