Area of Triangle
Area of Triangle
Area of Triangle: Area of a triangle is equal to half of the product of base and height
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 Triangle = Perimeter of a right triangle = a + b + c = Sum of three sides Where a, b and c are the measure of its three sides. 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. Example: Find The Area Of A Right Triangle as given: AB = 4cm and AC = 3cm Solution: using Pythagoras theorem, BC = 3 cm Area of triangle= |  |
Theorem 1 The area of a triangle is half the product of any its sides and the corresponding altitude.
Given A To prove Construction Through Proof By construction we have, BA || CD and AD || BC Since
Beacuse is the base and Hence Proved. |  |
Given A in which AL is the altitude to the side BC.
To prove
Construction Through and
draw
and
respectively, intersecting each other at
Proof We have,
[ By construction]
and, [ By construction]
is a parallelogram.
Since is a diagonal of
[
is the base and
is the corresponding
altitude of ]
[ Fig. required (pg. no. 15.7) xxxxx]
The area of a triangle with a base of 14 cm and a height of 16 cm is __________________. | |||
| Right Option : A | |||
| View Explanation | |||
The median of a triangle divides it into two ______________. | |||
| Right Option : A | |||
| View Explanation | |||
Let ABC be a triangle of area 24 sq. units and PQR be the triangle formed by the mid-points of sides of | |||
| Right Option : B | |||
| View Explanation | |||
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