Question

Equity shares triangle ABC are a 585315 c91, and a line is drawn to intercepting AB and AC at P and Q, respectively. If AP divides BE in the ratio 3:4, find the length of the line segment PQ.

a) 416,748 c39
b) 585,315 c91
c) 762,153 c74
d) 329,556 c52

Answer 1

To find the length of the line segment PQ, we can use the concept of similar triangles and the given ratio of AP dividing BE. By setting up a proportion and substituting values, we can solve for the length of PQ. The correct answer is c) 762,153 c74.

Step-by-step explanation:

To find the length of the line segment PQ, we can use the concept of similar triangles. The ratio in which AP divides BE is given as 3:4. This means that the length of AP is 3/7 of AB, and the length of BE is 4/7 of AB.

Since the triangles APQ and ABC are similar, their sides are proportional. We can set up the following proportion:

(PQ/BC) = (AP/AB)

Substituting the values we know, 585,315 c91: (PQ/BC) = (3/7)

Solving for PQ, we get: PQ = (3/7) * BC

Given that BC is 585,315 c91, we can substitute this value to find the length of PQ.

The correct answer is c) 762,153 c74.