X, Y and Z form the vertices of a triangle with area 59.7cm2. If XZ = 21.5cm and XY = 13.5cm, work out the acute angle ∠YXZ. Round to 1 DP.

The acute angle ∠YXZ = 24.3°.

Step-by-step explanation:

If in triangle ABC, C is the angle included between sides a and b then

Area of triangle =

here, XZ = 21.5cm and XY = 13.5cm are sides that includes acute angle ∠YXZ..

Area of a triangle = 59.7cm²

then, as per given, we have

Hence, the acute angle ∠YXZ = 24.3°.