In triangle ABC , M and N are the mid points of sides AB and AC . If the length of BC is 15 cm then length of MN is
Answers
Answer:
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Solution
Given: BC=15 cm
Since the points M and N are the mid points of AB and AC.
As per mid-point theorem,
MN=1/2(BC)
MN= 1/2(15 cm )
MN=15/2 cm
MN = 7.5 CM
Given:
The length of BC=15cm
To find:
The length of MN
Solution:
The length of MN is 7.5cm.
We can find the length of MN by following the steps given below-
We know that the line that joins the mid-points of two sides of a triangle is parallel to the third side and is equal to half of it.
In ΔABC, it is given that M and N are the midpoints of AB and AC.
So, the line MN is parallel to BC and equal to its half.
We now know that the length of MN should be half of BC.
MN=1/2 of BC
=1/2×BC
=BC/2
We are given that the length of the line BC=15cm
Using the value of BC, we get
MN=15/2
MN=7.5cm
Therefore, the length of MN is 7.5cm.