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The hypotenuse of a right angle triangle is 20 CM the difference between its other two sides are 4 cm the sides are?
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The hypotenuse of a right angle triangle is 20 CM the difference betwe...
Given:
- Hypotenuse (c) = 20 cm
- Difference between other two sides = 4 cm

To Find:
- Length of the other two sides of the right angle triangle

Solution:

Let's assume:
- One side of the triangle = a
- Other side of the triangle = b

Using Pythagorean Theorem:
- According to Pythagorean Theorem, in a right angle triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides.
- Therefore, we have: c^2 = a^2 + b^2
- Given that c = 20 cm, we can substitute the values to get: 20^2 = a^2 + b^2

Given Difference between Sides:
- It is given that the difference between the other two sides is 4 cm. So, we have: a - b = 4, which can be rearranged as a = b + 4

Substitute the value of a in terms of b:
- By substituting the value of a in terms of b in the Pythagorean equation, we get: 20^2 = (b + 4)^2 + b^2
- Solving this equation will give us the values of a and b

Solving the Equation:
- Expanding the equation and solving for b will give us two possible values for b.
- Once we have the value of b, we can find the value of a using the equation a = b + 4

Conclusion:
- By solving the equation using the given information about the hypotenuse and the difference between the sides, we can find the lengths of the other two sides of the right angle triangle.
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