Question
In the given figure:

Find the area of ∆ABE.
- 20
- 30
- 40
- 50
Hint:
Generally, the area of the right angled triangle is the half of the product of the base and the height.
The correct answer is: 30
>>>In General the area of the triangle is the half to the product of base and height of a triangle.
>>>Given That:

>>>>The triangle ABE forms right angled triangle, because it's sides are the Pythagorean triplets.
>>>Therefore, the area of the triangle ABE becomes:
Area = 
Area =
× 12 × 5
Area = 30
>>>Hence, the area of the triangle is 30 square units.
Area of the triangle =
Area = × 12 × 5
Area = 30
Related Questions to study
In the given figure:

Find h.
In the given figure:

Find h.
Given vertices of a triangle are A (1, 1) B (11, 8) C (13, 6).Find the midpoints of BC, CA
Given vertices of a triangle are A (1, 1) B (11, 8) C (13, 6).Find the midpoints of BC, CA
The centroid and orthocenter of an equilateral triangle for special segments are ____
The centroid and orthocenter, both are the same in an equilateral triangle for special segments
The centroid and orthocenter of an equilateral triangle for special segments are ____
The centroid and orthocenter, both are the same in an equilateral triangle for special segments
The point of concurrency of all the three altitudes of a triangle is called ___
The point of concurrency of all the three altitudes of a triangle is called ___
The point of concurrency of all the three medians of a triangle is called ___
The point of concurrency of all the three medians of a triangle is called ___

if AD is the altitude, which of the following is true?

if AD is the altitude, which of the following is true?
If ABC is an isosceles triangle:
Find ∠CAD

If ABC is an isosceles triangle:
Find ∠CAD

If ABC is an isosceles triangle:
Find DC
If ABC is an isosceles triangle:
Find DC
Given ΔABC is an isosceles triangle.

∆ABD ≅

Given ΔABC is an isosceles triangle.

∆ABD ≅

In the given figure G is the centroid, if GE = 4 units, AD = 12 units, CF = 14 units. Find BG

In the given figure G is the centroid, if GE = 4 units, AD = 12 units, CF = 14 units. Find BG

Given a triangle ABC with ‘G’ as centroid.
Find BF

AF = BF
AF = 6
BF = 6
Given a triangle ABC with ‘G’ as centroid.
Find BF

AF = BF
AF = 6
BF = 6
Given a triangle ABC with ‘G’ as centroid.
Find BE.

Given a triangle ABC with ‘G’ as centroid.
Find BE.

Given a triangle ABC with ‘G’ as centroid.
Find AB

Follow the below steps to find the length of AB:
AF + FB = AB
AF + AF = AB
2AF = AB
AF = 1/2 AB
AB = 2 AF
AB = 12
Given a triangle ABC with ‘G’ as centroid.
Find AB

Follow the below steps to find the length of AB:
AF + FB = AB
AF + AF = AB
2AF = AB
AF = 1/2 AB
AB = 2 AF
AB = 12
Given a triangle ABC with ‘G’ as centroid.
Find GE.

Given a triangle ABC with ‘G’ as centroid.
Find GE.

In the ∆QPR, what is the point of concurrency of medians?

Centroid divides a median in the ratio 2:1
In the ∆QPR, what is the point of concurrency of medians?

Centroid divides a median in the ratio 2:1