Question

IN TRIANGLE PQR , PM IS IT'S MEDIAN. IF AREA OF THE GIVEN TRIANGLE IS 24 cm square then find the area of the triangle PQM

Answer 1

In triangle PQR, if PM is it’s median and the area of the given triangle is 24 cm² then the area of the triangle PQM is 12 cm².

Step-by-step explanation:

We are given that,

PM is the median of ∆PQR.

And,

Area of triangle PQR = 24 cm²

We can also write from the figure attached below,  

Area of ∆PQR = Area of ∆PQM + Area of ∆PRM …… (i)  

From one of the properties of the median of the triangle we know that median divides the triangle into two triangles of the equal-area i.e.,

Area of ∆PQM = Area of ∆PRM ….. (ii)  

Now, from eq. (i) & (ii), we get

Area of ∆PQR = 2 * [Area of ∆PQM]

⇒ 24 = 2 * [Area of ∆PQM]

⇒ Area of ∆PQM = 24 / 2

⇒ Area of ∆PQM = 12 cm²

Thus, the area of the triangle PQM is 12 cm².

Answer 2

median

Step-by-step explanation:

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