Given: p is the midpoint of ab q is the midpoint of ac prove: bc = 2pq

Step-by-step explanation:

Since we have given that

Given : In triangle ABC, P is the mid point of AB, and Q is the midpoint of AC.

To prove : BC=2PQ

Construction : Join PQ such that PQ║BC.

Proof: Since P and Q are the midpoints of AB and AC respectively.

Using Mid point theorem, it states that the line segments joining the midpoints is parallel to the third side and equal to half of the third side.

Hence proved.

42.4 6th grade students prefer hip hop

step-by-step explanation:

40 percent of 106 = 42.4

part a: triangles gcb and epb

part b. sides cg and rp are parallel by definition of parallelogram.

angles cgb and e are congruent by being alternate interior angles of parallel lines cut by a transversal. angles gbc and ebp are congruent because they are vertical angles. by aa similarity, the triangles are similar.

part c. since the triangles are similar, the ratios of the lengths of corresponding sides are equal.

calculation of be:

gb/be = cb/bp

(400 ft)/be = 300/200

(400 ft)/be = 3/2

3be = 2 * 400 ft

3be = 800 ft

be = 800/3 ft

calculation of pe:

gc/pe = cb/bp

(350 ft)/pe = 300/200

(350 ft)/pe = 3/2

3pe = 2 * 350 ft

3pe = 700 ft

pe = 700/3 ft