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In a right angled triangle, find the hypotenuse if base and perpendicular are respectively 36015 cmand 48020 cm.
- a)69125 cm
- b)60025 cm
- c)391025 cm
- d)60125 cm
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
In a right angled triangle, find the hypotenuse if base and perpendicu...
Let hypotenuse = x cm
Then, by Pythagoras theorem:
x2 = (48020)2 + (36015)2
x fi 60025 cm
Then, by Pythagoras theorem:
x2 = (48020)2 + (36015)2
x fi 60025 cm
Most Upvoted Answer
In a right angled triangle, find the hypotenuse if base and perpendicu...
To find the hypotenuse of a right-angled triangle, we can use the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Given:
Base = 36015 cm
Perpendicular = 48020 cm
Let's calculate the hypotenuse using the Pythagorean theorem:
1. Identify the sides:
- Base = 36015 cm
- Perpendicular = 48020 cm
- Hypotenuse = ?
2. Apply the Pythagorean theorem:
According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Hypotenuse^2 = Base^2 + Perpendicular^2
Plugging in the given values:
Hypotenuse^2 = (36015 cm)^2 + (48020 cm)^2
3. Calculate:
Hypotenuse^2 = 1297080225 cm^2 + 2304382400 cm^2
Hypotenuse^2 = 3601462625 cm^2
Taking the square root of both sides to find the hypotenuse:
Hypotenuse = √3601462625 cm^2
4. Simplify:
Hypotenuse ≈ 60024.987 cm
Therefore, the hypotenuse of the right-angled triangle is approximately 60025 cm.
So, the correct answer is option 'B' - 60025 cm.
Given:
Base = 36015 cm
Perpendicular = 48020 cm
Let's calculate the hypotenuse using the Pythagorean theorem:
1. Identify the sides:
- Base = 36015 cm
- Perpendicular = 48020 cm
- Hypotenuse = ?
2. Apply the Pythagorean theorem:
According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Hypotenuse^2 = Base^2 + Perpendicular^2
Plugging in the given values:
Hypotenuse^2 = (36015 cm)^2 + (48020 cm)^2
3. Calculate:
Hypotenuse^2 = 1297080225 cm^2 + 2304382400 cm^2
Hypotenuse^2 = 3601462625 cm^2
Taking the square root of both sides to find the hypotenuse:
Hypotenuse = √3601462625 cm^2
4. Simplify:
Hypotenuse ≈ 60024.987 cm
Therefore, the hypotenuse of the right-angled triangle is approximately 60025 cm.
So, the correct answer is option 'B' - 60025 cm.
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