70 sticks each of unit length are combined to form a right angle triangle without breaking any stick. What is the area (in square units) of the triangle?

210

We know that, 20, 21 and 29 is a triplet and this is a right angled triangle.

So, according to the pythagoras theorem =

H² = B² + P²

= 21² + 20² = 29²

= 441 + 400 = 841

= 841 = 841

Sum of 20 + 21 + 29 = 70 (satisfied)

Area of right angled triangle = \(\frac{1}{2}\) × 20 × 21 = 210