2. Which part of the triangle is always directly
opposite the right angle?

For any triangle, the longest side is always opposite the largest angle. The largest angle of a right triangle is always the 90 degree angle. If you had any larger angle, then the triangle wouldn't be a right triangle and instead it would be obtuse.

In a right triangle, the longest side is given the special name hypotenuse. The other sides of a right triangle are called the legs.

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

answer: options

step-by-step explanation: