Class 10 Exam > Class 10 Notes > MCQ: Triangle - Class 10
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ABC is a right triangle right angled at B such that BC = 6 cm and AB = 8 cm. The radius of its incircle is
a)3 cmb)8 cmc)2 cmd)5 cmCorrect answer is option 'C'. Can you explain this answer?
Ref: https://edurev.in/question/579432/ABC-is-a-right-triangle-right-angled-at-B-such-that-BC-6-cm-and-AB-8-cm-The-radius-of-its-incircle-
Let ABC be the right angled triangle such that ∠B = 90° , BC = 6 cm, AB = 8 cm. Let O be the centre and r be the radius of the in circle.
AB, BC and CA are tangents to the circle at P, N and M.
∴ OP = ON = OM = r (radius of the circle)
By Pythagoras theorem,
CA2 = AB2 + BC2
⇒ CA2 = 82 + 62
⇒ CA2 = 100
⇒ CA = 10 cm
Area of ∆ABC = Area ∆OAB + Area ∆OBC + Area ∆OCA
FAQs on MCQ: Triangle - Class 10
| 1. What is a triangle? |  |
Ans. A triangle is a polygon with three sides and three angles.
| 2. How can we classify triangles based on their sides? | |
Ans. Triangles can be classified into three types based on their sides: equilateral, isosceles, and scalene. An equilateral triangle has all three sides of equal length, an isosceles triangle has two sides of equal length, and a scalene triangle has no sides of equal length.
| 3. How can we classify triangles based on their angles? | |
Ans. Triangles can be classified into three types based on their angles: acute, obtuse, and right. An acute triangle has all three angles less than 90 degrees, an obtuse triangle has one angle greater than 90 degrees, and a right triangle has one angle equal to 90 degrees.
| 4. What is the sum of the angles in a triangle? | |
Ans. The sum of the angles in a triangle is always 180 degrees. This is known as the Triangle Sum Theorem.
| 5. How do we find the area of a triangle? | |
Ans. The area of a triangle can be found by using the formula: Area = (base * height) / 2. The base is the length of one side of the triangle, and the height is the perpendicular distance from the base to the opposite vertex.
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