(04.01 MC) Triangle RST has vertices located at R (2, 3), S (4, 4), and T (5, 0). Part A: Find the length of each side of the triangle. Show your work. Part B: Find the slope of each side of the triangle. Show your work. Part C: Classify the triangle. Explain your reasoning.

Part A

The length of side is √5 units

The length of side is √17 units

The length of side is √18 units

Part B

The slope of side is (1/2)

The slope of side is -4

The slope of side is -1

Part C

The triangle is a scalene triangle

Step-by-step explanation:

The given vertices of the triangle ΔRST are; R(2, 3), S(4, 4), T(5, 0)

Part A

The length of each side is found by using the formula for the distance, d, between two points given their coordinates (x₁, y₁), (x₂, y₂) as follows;

∴ The length of side = √((4 - 3)² + (4 - 2)²) = √5

The length of side = √5

The length of side = √((0 - 4)² + (5 - 4)²) = √17

The length of side = √17

The length of side = √((3 - 0)² + (2 - 5)²) = √18

The length of side = √18

Part B

The slope, m, of each side of the triangle is given as follows;

The slope of side , m₁ = (1/2)

The slope of side , m₂ = -4

The slope of side , m₃ = -1

Part C

The class of the triangle is a scalene triangle

Given that the length of the sides of the triangle are all unequal, the triangle is a scalene triangle

Given that the square of the length of the longest side, √18, is not equal to the sum of the squares of the lengths of the other two sides, the triangle is not a right triangle

answer: when you burn wood, the carbon reacts with the oxygen in the air to create ash and smoke. that is a permanent change you cannot undo that.

step-by-step explanation:

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.