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The triangle whose lengths of sides are 3 cm, 4 cm, 5 cm is a
- a)obtuse-angled triangle
- b)right-angled triangle
- c)acute-angled triangle
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The triangle whose lengths of sides are 3 cm, 4 cm, 5 cm is aa)obtuse-...
a2+b2=c2
we find 32+42=52
9 + 16 = 25
as pythogoreus theorem can be applied
So, these sides also cause it to be a right triangle.
Most Upvoted Answer
The triangle whose lengths of sides are 3 cm, 4 cm, 5 cm is aa)obtuse-...
This is right angled triangle
by Pythagoras method
(h)²=(b)²+(p)²
(3)²+(4)²=(5)²
9+16=25
25=25
LHS=RHS
So,it is right angled triangle
by Pythagoras method
(h)²=(b)²+(p)²
(3)²+(4)²=(5)²
9+16=25
25=25
LHS=RHS
So,it is right angled triangle
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Community Answer
The triangle whose lengths of sides are 3 cm, 4 cm, 5 cm is aa)obtuse-...
Explanation:
The given sides of the triangle are 3 cm, 4 cm, 5 cm.
Definition:
- An obtuse-angled triangle has one angle greater than 90 degrees.
- A right-angled triangle has one angle equal to 90 degrees.
- An acute-angled triangle has all angles less than 90 degrees.
Applying the Pythagorean theorem:
Let's check whether the given triangle follows the Pythagorean theorem or not.
According to the Pythagorean theorem, 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.
If the given sides of the triangle satisfy this condition, then it is a right-angled triangle.
Let the sides of the triangle be a=3 cm, b=4 cm, c=5 cm.
c^2 = a^2 + b^2
Substituting the given values, we get:
5^2 = 3^2 + 4^2
25 = 9 + 16
25 = 25
As both sides are equal, the given triangle follows the Pythagorean theorem. So, it is a right-angled triangle.
Conclusion:
Hence, the correct answer is option 'B', i.e., the given triangle is a right-angled triangle.
The given sides of the triangle are 3 cm, 4 cm, 5 cm.
Definition:
- An obtuse-angled triangle has one angle greater than 90 degrees.
- A right-angled triangle has one angle equal to 90 degrees.
- An acute-angled triangle has all angles less than 90 degrees.
Applying the Pythagorean theorem:
Let's check whether the given triangle follows the Pythagorean theorem or not.
According to the Pythagorean theorem, 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.
If the given sides of the triangle satisfy this condition, then it is a right-angled triangle.
Let the sides of the triangle be a=3 cm, b=4 cm, c=5 cm.
c^2 = a^2 + b^2
Substituting the given values, we get:
5^2 = 3^2 + 4^2
25 = 9 + 16
25 = 25
As both sides are equal, the given triangle follows the Pythagorean theorem. So, it is a right-angled triangle.
Conclusion:
Hence, the correct answer is option 'B', i.e., the given triangle is a right-angled triangle.
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The triangle whose lengths of sides are 3 cm, 4 cm, 5 cm is aa)obtuse-angled triangleb)right-angled trianglec)acute-angled triangled)None of theseCorrect answer is option 'B'. Can you explain this answer?
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