Answer:
20
Step-by-step explanation:
9514 1404 393
Answer:
- DE ≈ 9.49, EF ≈ 8.06, FD ≈ 14.87
- obtuse scalene triangle
Step-by-step explanation:
For finding side lengths, it is convenient to work with the differences of the coordinates.
DE = E(-1, -3) -D(8, -6) = (-9, 3)
EF = F(-2, 5) -E(-1, -3) = (-1, 8)
FD = D(8, -6) -F(-2, 5) = (10, -11)
Then the lengths are ...
DE = √((-9)² +3²) = √90 = 3√10 ≈ 9.49
EF = √((-1)² +8²) = √65 ≈ 8.06
FD = √(10² +(-11)²) = √221 ≈ 14.87
The lengths are all different and the largest angle is obviously more than 90°, so the triangle is an obtuse scalene triangle.
Answer:
Teorema de Pitágoras
Step-by-step explanation:
Answer is 9.
Get the slope of the line using the two known points:
slope = (7 3/4 - 6 1/4) / (1 1/4 - 3/4) = (1 2/4) / (2/4) = 3
Use the point-slope formula for a line to get the equation of the line. You can use any of the known points and the slope computed above. For example,
y - 6 1/4 = 3 (x - 3/4) ⇒ y = 3x + 16/4 = 3x + 4
Then for some given value of x, the third point has y-coordinate 3x + 4.
"Which values" suggests there may be more to the question, namely some list of answer choices. If you have something like that, just check if the above condition is met.