CA Foundation Exam  >  CA Foundation Questions  >  The sides of equilateral triangle are shorten... Start Learning for Free
The sides of equilateral triangle are shortened by 3 units, 4 units, 5 units respectively then a right angle triangle is formed. The side of the equilateral triangle was
  • a)
    5
  • b)
    6
  • c)
    8
  • d)
    10
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The sides of equilateral triangle are shortened by 3 units, 4 units, 5...
Given Information:

- The sides of an equilateral triangle are shortened by 3 units, 4 units, and 5 units.
- This results in a right angle triangle.

To find:

- The side of the original equilateral triangle.

Solution:

Let the side of the original equilateral triangle be 'a'.

After shortening the sides, the sides of the new triangle will be:

- (a - 3), (a - 4), and (a - 5)

We know that the Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

Using this theorem, we can write:

- (a - 3)^2 + (a - 4)^2 = (a - 5)^2

Simplifying this equation, we get:

- a^2 - 10a + 24 = 0

This is a quadratic equation in 'a'. Solving it using the quadratic formula, we get:

- a = (10 ± √(100 - 96))/2
- a = (10 ± 2)/2
- a = 6 or a = 4

Since 'a' represents the side of the original equilateral triangle, we can eliminate the option 'a = 4' (which is not even an option given).

Therefore, the side of the original equilateral triangle is a = 6.

Hence, the correct answer is option 'C'.
Free Test
Community Answer
The sides of equilateral triangle are shortened by 3 units, 4 units, 5...
Explore Courses for CA Foundation exam
The sides of equilateral triangle are shortened by 3 units, 4 units, 5 units respectively then a right angle triangle is formed. The side of the equilateral triangle wasa)5b)6c)8d)10Correct answer is option 'C'. Can you explain this answer?
Question Description
The sides of equilateral triangle are shortened by 3 units, 4 units, 5 units respectively then a right angle triangle is formed. The side of the equilateral triangle wasa)5b)6c)8d)10Correct answer is option 'C'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The sides of equilateral triangle are shortened by 3 units, 4 units, 5 units respectively then a right angle triangle is formed. The side of the equilateral triangle wasa)5b)6c)8d)10Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sides of equilateral triangle are shortened by 3 units, 4 units, 5 units respectively then a right angle triangle is formed. The side of the equilateral triangle wasa)5b)6c)8d)10Correct answer is option 'C'. Can you explain this answer?.
Solutions for The sides of equilateral triangle are shortened by 3 units, 4 units, 5 units respectively then a right angle triangle is formed. The side of the equilateral triangle wasa)5b)6c)8d)10Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CA Foundation. Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of The sides of equilateral triangle are shortened by 3 units, 4 units, 5 units respectively then a right angle triangle is formed. The side of the equilateral triangle wasa)5b)6c)8d)10Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The sides of equilateral triangle are shortened by 3 units, 4 units, 5 units respectively then a right angle triangle is formed. The side of the equilateral triangle wasa)5b)6c)8d)10Correct answer is option 'C'. Can you explain this answer?, a detailed solution for The sides of equilateral triangle are shortened by 3 units, 4 units, 5 units respectively then a right angle triangle is formed. The side of the equilateral triangle wasa)5b)6c)8d)10Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of The sides of equilateral triangle are shortened by 3 units, 4 units, 5 units respectively then a right angle triangle is formed. The side of the equilateral triangle wasa)5b)6c)8d)10Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The sides of equilateral triangle are shortened by 3 units, 4 units, 5 units respectively then a right angle triangle is formed. The side of the equilateral triangle wasa)5b)6c)8d)10Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CA Foundation tests.
Explore Courses for CA Foundation exam

Top Courses for CA Foundation

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev