Question

in triangle PQR, base QR is divided at X such that QX=1/2XR.if area of triangle PQR=81cm square.find ar of triangle PQX

Answer 1

insufficient information

Answer 2

Answer: Area of Δ PQX is 27 cm².

Step-by-step explanation:

Since we have given that

In Δ PQR, base QR is divided at X such that

$QX=\frac{1}{2}XR\\\\\frac{QX}{XR}=\frac{1}{2}$

That means, QX:XR = 1:2

Area of  Δ PQR = 81 cm square

So, Area of Δ PQX is given by

$\frac{1}{3}\times 81\\\\=27\ cm^2$

Hence, Area of Δ PQX is 27 cm².