70 sticks 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?
Show answer & explanation
Correct answer: A
Explanation
Correct Answer is option 1 i.e. 210
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Understanding |
Application |
Calculation |
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70 sticks each of unit length are combined to form a triangle. |
Perimeter of triangle = 70 units A + B + C = 70
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Since the triangle is right angle triangle. |
C2 = A2 + B2 |
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A Pythagoras triplet needs to be found which complies these conditions. |
Triplet is 20, 21 and 29 |
Here, ⇒ 292 = 202 + 212 ⇒ 841 = 400 + 441 |
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Sides are 20, 21 and 29 units. |
Area of triangle = 210 unit2 |
⇒ 1/2 × 20 × 21 ⇒ 210 |