Question

Activity 2
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
AM
cm
cm
BC
cm
Area of the triangle ABC
sq. cm
A
Р
61
1
B.
M
C С​

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

brainly.in/question/39417398