Identify the true statement.a)A triangle with 3 equal sides is isosceles.b)A triangle with a110oangle is right angled.c)A triangle with 3 acute angles is acute angled.d)A triangle with 2 equal sides is equilateral.Correct answer is option 'C'. Can you explain this answer?

Question

Answer

Option 'a' says that a triangle with 3 equal sides is isosceles but a triangle with 3 equal sides is equilateral triangle.
Option 'b' says a triangle with a 110 degree angle is a right angled but a triangle with 90 degree is said to be right angled.
Option 'd' says that a triangle with 2 equal sides is equilateral but a triangle having 2 equal sides are said to be an isosceles triangle.

Since all the three options are incorrect.
Therefore the option no. 'c' is correct because a triangle with 3 acute angle is a acute angled.

Answer

Option c is correct because in option (a) a triangle with 3 equal sides is isosceles but it's correct is equilateral .
(b) and a triangle with a 110 degree angle is not right angled , the tirange with 90 degree is right angled
(c) this option is correct because 3 acute angle is acute angled .
(d) a triangle with 3 equal sides is equilateral no with 2 sides .
So correct option is c

Answer

Option 'a':TRIANGLE WITH 2 EQUAL SIDES IS AN ISOSCELES TRIANGLE BUT TRIANGLE WITH 3 EQUAL SIDES IS AN EQUILATERAL TRIANGLE.{means it is not correct}

Option'b':TRIANGLE WITH 90 DEGREE ANGLE IS A RIGHT ANGLED TRIANGLE BUT NOT 110 DEGREE.{means it is not correct}

Option'c':IF THERE ARE 3 ACUTE ANGLES IN A TRIANGLE MEANS IT MUST/OBVIOUSLY BE A ACUTE ANGLED TRIANGLE.{means this is correct}

Option'd':

TRIANGLE WITH 2 EQUAL SIDES IS AN ISOSCELES TRIANGLE BUT TRIANGLE WITH 3 EQUAL SIDES IS AN EQUILATERAL TRIANGLE.{means it is not correct}

Answer

Explanation:

The statement 'A triangle with 3 acute angles is acute angled' is the true statement.

Understanding Triangle Angles:

In a triangle, the sum of all three angles is always 180 degrees. Here are some key terms related to triangle angles:

1. Acute Angle: An angle that measures less than 90 degrees.
2. Right Angle: An angle that measures exactly 90 degrees.
3. Obtuse Angle: An angle that measures more than 90 degrees but less than 180 degrees.
4. Straight Angle: An angle that measures exactly 180 degrees.

Explanation of the Statements:

a) A triangle with 3 equal sides is isosceles: This statement is incorrect. A triangle with 3 equal sides is not isosceles, it is actually equilateral. An isosceles triangle has at least two equal sides.

b) A triangle with a 110-degree angle is right-angled: This statement is incorrect. A triangle with a 110-degree angle is an obtuse-angled triangle, not a right-angled triangle. A right-angled triangle has one angle measuring exactly 90 degrees.

c) A triangle with 3 acute angles is acute-angled: This statement is true. In a triangle, if all three angles are acute (measuring less than 90 degrees), then the triangle is called an acute-angled triangle.

d) A triangle with 2 equal sides is equilateral: This statement is incorrect. A triangle with 2 equal sides is an isosceles triangle, not equilateral. An equilateral triangle has all three sides equal.

Conclusion:

Out of the given statements, the true statement is 'A triangle with 3 acute angles is acute-angled.' This statement is true because in a triangle, if all three angles are acute, then the triangle is classified as an acute-angled triangle.

Answer

C is the right ans

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