Let ABC be a triangle, and DE parallel to the base BC. Suppose point F is any point on DE. Show that shaded area is less than or equal to one-fourth of the area of the entire triangle. Where α(BDF) + α(CEF) = 1 4α(ABC) if and only if points D and E are the midpoints of AB and AC, respectively.

Q: Let ABC be a right triangle and H be the foot of the altitude relative to the hypotenuse BC. Let…

A:

Q: Classify APQR by its sides. Then determine whether it is a right triangle. R (2.3) (2.1) P 0 CLU a b…

A: Given,The vertices  and  of a triangleAim: To determine whether the triangle is a scalene,…

Q: Find the area of the triangle with vertices (0, 0, 0), (-2, -3, -3), and (-2,-2,-5). A =

A: Let,     Then,

Q: A В C 3X +4 5X - 6

A: B is the midpoint of AC⇒ AB=BC

Q: 2. Find the area of the triangle PQR where P(0, 1, 1), Q(3, -2, 1), R(1,0, A. 4√2 B. 5√3 C. 12√3 C

A:

Q: The points P: (-2,0,0), Q: (0,1,1) and R: (1,2,1) are givena. determine the angle in the triangle…

A: Solution  a) To determine the angle at corner Q in triangle ΔPQR, we can use the dot product…

Q: If AB = i+ 8j - 2k and B is the point (9, 4, 6), find A. The point A is (OI

A:

Q: In triangleRST, the medians are RM, SN, and TP. If RM = 9, SN = 12, and TP = 16, find the distance…

A: median of the triangle

Q: Find the lengths of the sides of the triangle given by the points P(2, –1,0) and Q(4,1,1) and R(4,…

A:

Q: ABC is a triangle. BF, CG are any two lines drawn from the extremities of the base BC to meet AC and…

A: