Area of Triangle
Area of Triangle
Area of Triangle:
A triangle is a three sided figure. To find the area of triangle we should know the base and the corresponding height of the triangle. The formula is
In the figure given below
The area of triangle DGF can be calculated as
Here DE is perpendicular to the base GF. So we can say that DE is the corresponding height to the base GF.
Illustration: Area of a triangle is 54.The height of triangle is 6 cm. Calculate the base of triangle.
Solution: According to question
Area of triangle=54
Height=6cm
To calculate the base we will use the formula
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. The figure below is a right angled triangle right angled at B.
To calculate the are of a right triangle we will use the two sides which are making an angle of 900. In the above figure angle B is formed with the help of the sides AB and AC. So these sides can be used as base and the corresponding height.. So the are can be calculated as.
Sometimes we are supposed to calculate the area of a right triangle in which one side and the hypotenuse is given.
In such a situation to calculate the are first we have to calculate the other side using Pythagoras Theorem
Pythagoras Theorem defines the relationship between the three sides of a right angled triangle. Thus, if the measure of two of the three sides of a right triangle is given, we can use the Pythagoras Theorem to find out the third side.
Hypotenuse is the side opposite to the right angle in a triangle.
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Illustration: Find The Area Of A Right Triangle as given: AB = 4cm and AC = 3cm Solution: using Pythagoras theorem, BC = 3 cm Area of triangle= |
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If area of a triangle is 20 , | |||
| Right Option : B | |||
| View Explanation | |||
The base and hypotenuse of a right triangle are 5 cm and 13 cm respectively Its area is | |||
| Right Option : C | |||
| View Explanation | |||
The sides of a triangle are 16 cm, 30 cm and 34 cm. Its area is _________________. | |||
| Right Option : C | |||
| View Explanation | |||
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