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What will be the length of third side of a right angled triangle whose hypotenuse is 5cm and one of the side is 3 cm ?
- a)2
- b)3
- c)4
- d)5
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
What will be the length of third side of a right angled triangle whose...
By using Pythagoras theorem
H2 = P2 + B2
Third side =
= 4cm
H2 = P2 + B2
Third side =
= 4cmMost Upvoted Answer
What will be the length of third side of a right angled triangle whose...
Given:
- Hypotenuse of the right-angled triangle = 5 cm
- One side of the right-angled triangle = 3 cm
To find:
- Length of the third side of the right-angled triangle
Let's solve this step by step:
Step 1: Understand the concept of a right-angled triangle
In a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This is known as the Pythagorean theorem.
Step 2: Apply the Pythagorean theorem
According to the Pythagorean theorem, we can write the equation as:
(hypotenuse)^2 = (side 1)^2 + (side 2)^2
Substituting the given values:
5^2 = 3^2 + (side 2)^2
Simplifying the equation:
25 = 9 + (side 2)^2
Step 3: Solve for the length of the third side
By rearranging the equation:
(side 2)^2 = 25 - 9
(side 2)^2 = 16
To find the length of the third side, we need to take the square root of both sides of the equation:
side 2 = √16
Taking the square root:
side 2 = 4
Step 4: Conclusion
The length of the third side of the right-angled triangle is 4 cm.
Answer:
The correct option is c) 4.
- Hypotenuse of the right-angled triangle = 5 cm
- One side of the right-angled triangle = 3 cm
To find:
- Length of the third side of the right-angled triangle
Let's solve this step by step:
Step 1: Understand the concept of a right-angled triangle
In a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This is known as the Pythagorean theorem.
Step 2: Apply the Pythagorean theorem
According to the Pythagorean theorem, we can write the equation as:
(hypotenuse)^2 = (side 1)^2 + (side 2)^2
Substituting the given values:
5^2 = 3^2 + (side 2)^2
Simplifying the equation:
25 = 9 + (side 2)^2
Step 3: Solve for the length of the third side
By rearranging the equation:
(side 2)^2 = 25 - 9
(side 2)^2 = 16
To find the length of the third side, we need to take the square root of both sides of the equation:
side 2 = √16
Taking the square root:
side 2 = 4
Step 4: Conclusion
The length of the third side of the right-angled triangle is 4 cm.
Answer:
The correct option is c) 4.
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