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Standard VII

Mathematics

Median of a Triangle

In the follow...

Question

In the following figure, BQ is a median of the given triangle. If AQ = 2 cm, find the length of the side AC.

cm

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Solution

Median is a line from a vertex of a triangle to the midpoint of its opposite side.

Here, BQ is the median that passes through vertex B and the midpoint of AC.
$∴$ Q is the midpoint of AC.

Hence, Length of AC $= 2 \times$ (length of AQ)
$\Rightarrow$ Length of AC $= 2 \times 2$ cm $= 4$ cm

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In the following figure, BQ is a median of the given triangle. If AQ = 2 cm, find the length of the side AC. cm

Median is a line from a vertex of a triangle to the midpoint of its opposite side. Here, BQ is the median that passes through vertex B and the midpoint of AC. ∴ Q is the midpoint of AC. Hence, Length of AC =2× (length of AQ) ⇒ Length of AC =2×2 cm =4 cm

In the following figure, BQ is a median of the given triangle. If AQ = 2 cm, find the length of the side AC.

cm

Median is a line from a vertex of a triangle to the midpoint of its opposite side.

Here, BQ is the median that passes through vertex B and the midpoint of AC.
$∴$ Q is the midpoint of AC.

Hence, Length of AC $= 2 \times$ (length of AQ)
$\Rightarrow$ Length of AC $= 2 \times 2$ cm $= 4$ cm