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Area of a Triangle Given Its Vertices

The points A2...

Question

The points A (2, 9), B (a, 5), C (5, 5) are the vertices of a triangle ABC right angled at B. Find the value of 'a' and hence the area of ΔABC.

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Solution

It is given that ABC is a right angled triangle..Vertices of triangle are

A( 2,9 ), B( a,5 ), C( 5, 5 ).

We have to find the value of a and area of the triangle.

is a right angled triangle.

We know that length of a line with coordinates of end points

Hence in

…… (1)

…… (2)

Therefore, applying Pythagoras Theorem to right

Putting a = 2 in (1) and (2)

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C (5, 5)

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Q. Question 17
If the points A(2,9), B(a,5) and C(5,5) are the vertices of a

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