Area of Triangle


Mensuration II - Concepts
Class - 6th Foundation NTSE Subjects
 
 
Concept Explanation
 

Area of Right Triangle

A right triangle is the one in which the measure of any one of the interior angles is 90 degrees. It is to be noted here that since the sum of interior angles in a triangle is 180 degrees, only 1 of the 3 angles can be a right angle. If the other two angles are equal, that is 45 degrees each, the triangle is called an isosceles right angled triangle. However, if the other two angles are unequal, it is a scalene right angled triangle.

Area of Right Triangle = frac{1}{2}times basetimes height

Perimeter of a right triangle = a + b + c = Sum of three sides

Where a, b and c are the measure of its three sides.

Illustration: Find the area of a right triangle whose side forming the right angle are 3 cm and 4 cm.

Solution: Let the base = 3 cm and height = 4cm

large Area ;of ;a ;triangle = frac{1}{2}; X ;base ;X; height

large = frac{1}{2}; X ;3 ;X; 4= 6 cm^2

Illustration: Find the area of the right triangle if base and height of the triangle are 5 cm, 7 cm respectively.

Solution: As we know that

Area of right triangle = frac{1}{2}times basetimes height

So, Area = frac{1}{2}times 5times 7

Area = frac{35}{2};cm^{2}

Sample Questions
(More Questions for each concept available in Login)
Question : 1

The height (in cm) of a triangle whose base is 13 cm and area is 65 sq cm is:

Right Option : C
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Explanation
Question : 2

The base of a right triangle is 8 cm and Hypotenuse is 10 cm. Its area will be  _________________                    

Right Option : C
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Explanation
Question : 3

Find the area (in sq cm) of an isosceles right triangle of equal sides 40 cm each.

Right Option : D
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Explanation
 
 
 
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