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?
Answer & explanation
Correct answer: option 1
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