In the given figure, the sides YX, XZ, ZY are extended such that MY=YZ, NX=XY, XZ=ZO. The area of $Δ$ XYZ = 10; what is the area of $Δ$ MNO.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D 70
In the given figure, let’s join Y to O, Z to N and X to M.

Consider $Δ$ MNY, since MX is a median, area of $Δ$ MXN = area of $Δ$ MXY.

But, area of $Δ$ MXY = area of $Δ$ XZY (XY is a median). Thus area of $Δ$ MXN=area of $Δ$ XZY

This is continued for all the smaller triangles formed, hence $Δ$ MNO = 7 $Δ$ XZY.

Thus area of $Δ$ MNO = 70.

Suggest Corrections

Similar questions

\frac{x (y + z - x)}{log x} = \frac{y (z + x - y)}{log y} = \frac{z (z + x - y)}{log z},

x^{y} y^{x} = z^{y} y^{z} = x^{z} z^{x}

x^{3} y^{4} z^{5}

(x y + y z + x z)^{6}

∆

∠

45^{°}

-

Join BYJU'S Learning Program