SOLUTION: I need help on this please Triangle DEF has vertices located at D (2, 1), E (3, 5), and F (6, 2). Part A: Find the length of each side of the triangle. Show your work. P

Question 1177582: I need help on this please

Triangle DEF has vertices located at D (2, 1), E (3, 5), and F (6, 2).
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.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Triangle has vertices located at
D (, ),
E (, ), and
F (, ).
Part A:
Find the length of each side of the triangle. Show your work.
the length of each side is equal to the distance between endpoints
the length of the side is equal to the distance between (, ) and (, )

Solved by pluggable solver: Distance Between 2 points

The distance formula is . Plug in the numbers,

The distance is 4.12310562561766.

so, (approximately)

the length of the side is equal to the distance between (, ) and (, )

Solved by pluggable solver: Distance Between 2 points

The distance formula is . Plug in the numbers,

The distance is 4.12310562561766.

so, (approximately)
the length of the side is equal to the distance between ((, ) and (, )

Solved by pluggable solver: Distance Between 2 points

The distance formula is . Plug in the numbers,

The distance is 4.24264068711928.

(approximately)

Part B:
Find the slope of each side of the triangle. Show your work.
passes through (, ) and (, )
slope is

Solved by pluggable solver: Finding the slope

Slope of the line through the points (2, 1) and (3, 5)

Answer: Slope is

passes through (, ) and (, )
slope is

Solved by pluggable solver: Finding the slope

Slope of the line through the points (2, 1) and (6, 2)

Answer: Slope is

side passes through ((, ) and (, )
slope is

Solved by pluggable solver: Finding the slope

Slope of the line through the points (6, 2) and (3, 5)

Answer: Slope is

Part C:
Classify the triangle. Explain your reasoning.

Triangle is an triangle because sides and are the same length.

RELATED QUESTIONS
Points D(-4, 6), E(5, 3), and F(3, -2) are the vertices of triangle DEF. Find the... (answered by solver91311)

D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. What is m DEF? (answered by ewatrrr)

D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. What is m... (answered by josgarithmetic)

D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. What is m... (answered by Fombitz)

D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. What is m... (answered by josgarithmetic)

Triangle DEF with vertices D(2,5), E(1,-6), and f(-5,3) is translated 3 units right and 2 (answered by checkley71)

1) Find the perimeter of angle ABC with vertices A(2,4) B(8,12) and C(24,0). And 2)... (answered by solver91311)

GIVEN: triangle ABC has vertices A(2,1) B(7,4) and C(4,-1) triangle DEF has vertices... (answered by solver91311)

Determine the coordinates of the orthocentre of triangle DEF with vertices at D (-3,4) E... (answered by MathLover1)