The correct answer of the given question above about the incenter of a triangle is option B. The statement that best describes the incenter of a triangle is that, it is the point where the three angle bisectors of the triangle intersect. In geometry, an incenter of a triangle is described as the triangle center.
Answer:
56.4 ft
Step-by-step explanation:
The tangent of the angle relates the opposite side (height above the window) to the adjacent side (distance between buildings) in the right triangle that models this geometry.
Tan = Opposite/Adjacent
tan(35°) = (height above window)/(distance between buildings)
height above window = (52 ft)tan(35°) ≈ 36.4 ft
Added to the window height of 20 ft, the height of the other building is ...
20 ft + 36.4 ft = 56.4 ft
<u>Part 1</u>
Using the distance formula,

So, the measure of the longest side is 6 units.
<u>Part 2</u>
Triangle ABD will have vertices A(1,7), B(-2, 2), and D(1,2).
We already know that 
Using the distance formula,

So, ABD is a scalene triangle.
<u>Part 3</u>
From part 2, we know that the length of side AD is 5 units.
Step-by-step explanation: