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MCQ: Triangle - Class 10 PDF Download

 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 cm
  • b)
    8 cm
  • c)
    2 cm
  • d)
    5 cm
Correct 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.

MCQ: Triangle - Class 10

AB, BC and CA are tangents to the circle at P, N and M.

∴ OP = ON = OM = r (radius of the circle)

MCQ: Triangle - Class 10

By Pythagoras theorem,

 CA2 = AB2 + BC2

 ⇒ CA2 = 82 + 62

⇒ CA2 = 100

⇒ CA = 10 cm

Area of ∆ABC = Area ∆OAB + Area ∆OBC + Area ∆OCA

MCQ: Triangle - Class 10

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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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