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The arms of an isosceles right triangle are 1 cm each. With the hypotenuse as the base, another right triangle of height 1 cm is drawn. With the hypotenuse of the second triangle as the base, a third triangle of height 1 cm is drawn. This process is repeated as shown, till the 100th such triangle. What is the area of the 100th triangle? (write the answer option)




1. 3√11/2 cm2                     

2.  3√2 cm2                       

3. 10 cm2                        

4. 5 cm2

Correct answer is '5'. Can you explain this answer?
Verified Answer
The arms of an isosceles right triangle are 1 cm each. With the hypote...
The hypotenuse of the 1st triangle is √2.


This is the base of the 2nd triangle.


So, the hypotenuse of the second triangle is √3 which is the base of the 3rd triangle, and so on.


So, the base of the 100th triangle will be √100 =10 and height = 1 cm (given). So the area of this triangle is ½ × 1 × 10 = 5 cm2.
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The arms of an isosceles right triangle are 1 cm each. With the hypotenuse as the base, another right triangle of height 1 cm is drawn. With the hypotenuse of the second triangle as the base, a third triangle of height 1 cm is drawn. This process is repeated as shown, till the 100th such triangle. What is the area of the 100th triangle? (write the answer option)1. 3√11/2cm2 2. 3√2cm2 3. 10 cm2 4. 5 cm2Correct answer is '5'. Can you explain this answer?
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The arms of an isosceles right triangle are 1 cm each. With the hypotenuse as the base, another right triangle of height 1 cm is drawn. With the hypotenuse of the second triangle as the base, a third triangle of height 1 cm is drawn. This process is repeated as shown, till the 100th such triangle. What is the area of the 100th triangle? (write the answer option)1. 3√11/2cm2 2. 3√2cm2 3. 10 cm2 4. 5 cm2Correct answer is '5'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The arms of an isosceles right triangle are 1 cm each. With the hypotenuse as the base, another right triangle of height 1 cm is drawn. With the hypotenuse of the second triangle as the base, a third triangle of height 1 cm is drawn. This process is repeated as shown, till the 100th such triangle. What is the area of the 100th triangle? (write the answer option)1. 3√11/2cm2 2. 3√2cm2 3. 10 cm2 4. 5 cm2Correct answer is '5'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The arms of an isosceles right triangle are 1 cm each. With the hypotenuse as the base, another right triangle of height 1 cm is drawn. With the hypotenuse of the second triangle as the base, a third triangle of height 1 cm is drawn. This process is repeated as shown, till the 100th such triangle. What is the area of the 100th triangle? (write the answer option)1. 3√11/2cm2 2. 3√2cm2 3. 10 cm2 4. 5 cm2Correct answer is '5'. Can you explain this answer?.
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