Find the number of triangles in the given figure.
Step 1: Analyze the given figure.
The given figure consists of multiple triangles, including smaller triangles formed by the intersections of lines within the larger triangle.
Step 2: Count the triangles.
By counting each small and large triangle formed, we find that there are 12 triangles in total.
Final Answer: \[ \boxed{12} \]
A weight of $500\,$N is held on a smooth plane inclined at $30^\circ$ to the horizontal by a force $P$ acting at $30^\circ$ to the inclined plane as shown. Then the value of force $P$ is:
A steel wire of $20$ mm diameter is bent into a circular shape of $10$ m radius. If modulus of elasticity of wire is $2\times10^{5}\ \text{N/mm}^2$, then the maximum bending stress induced in wire is: