Question

A line is drawn through the vertex A parallel to the base of the triangle ABC.

Write the length of PQ (distance between parallel lines)

In this way, how many triangles of same area can be drawn?

PQ = cm

AM = cm

BC = cm

Area of the triangle ABC sq. cm
​

Answer 1

Given :- A line is drawn through the vertex A parallel to the base of the triangle ABC.

To Find :-

• PQ = ?
• AM = ?
• BC = ?
• Area ∆ABC = ?

Answer :-

from image we can see that,

• PQ = AM = 6 cm = Perpendicular height .
• BC = 8 cm = Base .

so,

→ ∆ABC area = (1/2) * Base * Perpendicular height = (1/2) * 8 * 6 = 4 * 6 = 24 cm². (Ans.)

Also, when a line is drawn parallel to one side in a triangle, two similar triangles are formed .And, ∆'s between same parallel lines and same base have equal area .

Learn more :-

In the figure AB-8cm

CD-6cm

Find the area of the triangle

https://brainly.in/question/39417398

Answer 2

Answer:

1. PQ=6cm
2. AM=6cm
3. BC=8cm
4. AREA=24sq.cm