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Maths-

General

Easy

Question

Find the value of x. Identify the theorem used to find the answer.

hint Hint:

Mid-point theorem:

According to mid-point theorem, in triangle, the line segment which joins the midpoint of two sides is parallel to third side and is equal to half of third side,

The correct answer is: x = 12.

Answer:

Step by step explanation:

Given:

From figure,
BM = MC,
hence M is midpoint of BC.
BN = NA,
hence N is midpoint of AB.
MN = x
AC = 24

Step 1:

In $straight triangle ABC text , end text$
The line segment MN joins midpoint of AB and BC
So,
According to midpoint theorem,
MN is parallel to AC and
MN = $fraction numerator A C over denominator 2 end fraction$
MN = $24 over 2$
MN = 12
∴ x = 12.
Final Answer:
x = 12.

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