MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

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.

Open in App

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)

Suggest Corrections

thumbs-up

7

Similar questions

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

C (5, 5)

are the vertices of a triangle

A B C

right angled at

B

. Find the values of

a

and hence the area of

Δ

A B C

.

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

Δ

ABC right angled at B, then find the values of a and hence the area of

Δ

A (2, 3), B (4, - 1), C (- 1, 2)

are the vertices of

△ A B C

. Find the length of perpendicular from

C

A B

and hence find area of

△ A B C

The points A(-a, b), B(-a, c) and C(a, c) form the vertices of a triangle. Which of the following is true?

The points A(-a,b), B(-a,c) and C(a,c) form the vertices of a triangle. Which of the following is true?

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Area from Coordinates

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Area of a Triangle Given Its Vertices

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon