Area of Triangles

In ∆PQR, M is the mid-point of side PQ. If the area of ∆PMR is 13 cm², then what is the area of ∆PQR?

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19.6 cm²
26 cm²
19 cm²
29.5 cm²

Explanation

Well done !

Explanation:

In ∆PQR, M is the mid-point of side PQ.
∴ ar (∆PMR) = ar (∆MQR) ... (1) (Median of a triangle divides it into two triangles of equal areas.)
Now, ar (∆PQR) = ar (∆PMR) + ar (∆MQR)
⇒ ar (∆PQR) = 2 × ar (∆PMR) [Using (1)]
⇒ ar (∆PQR) = 2 × 13 [ar (∆PMR) = 13 cm²]
= 26 cm²

Explanation

Wrong answer !

The correct answer is :

26 cm²

Explanation :

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