Advertisements
Advertisements
प्रश्न
The perimeter of the triangle formed by the points (0, 0), (0, 1) and (0, 1) is
पर्याय
1 ± \[\sqrt{2}\]
- \[\sqrt{2}\] + 1
3
- \[2 + \sqrt{2}\]
उत्तर
We have a triangle ΔABC whose co-ordinates are A (0, 0); B (1, 0); C (0, 1). So clearly the triangle is right angled triangle, right angled at A. So,
AB = 1 unit
AC = 1 unit
Now apply Pythagoras theorem to get the hypotenuse,
`BC = sqrt(AB^2 + Ac^2 )`
`= sqrt(2)`
So the perimeter of the triangle is,
= AB + BC + AC
`= 1 + 1+ sqrt(2)`
`= 2 + sqrt(2)`
APPEARS IN
संबंधित प्रश्न
If A(–2, 1), B(a, 0), C(4, b) and D(1, 2) are the vertices of a parallelogram ABCD, find the values of a and b. Hence find the lengths of its sides
Let ABCD be a square of side 2a. Find the coordinates of the vertices of this square when A coincides with the origin and AB and AD are along OX and OY respectively.
In Fig. 14.36, a right triangle BOA is given C is the mid-point of the hypotenuse AB. Show that it is equidistant from the vertices O, A and B.
We have a right angled triangle,`triangle BOA` right angled at O. Co-ordinates are B (0,2b); A (2a, 0) and C (0, 0).
Find the ratio in which the line segment joining (-2, -3) and (5, 6) is divided by x-axis Also, find the coordinates of the point of division in each case.
If the points p (x , y) is point equidistant from the points A (5,1)and B ( -1,5) , Prove that 3x=2y
Find the area of the triangle formed by joining the midpoints of the sides of the triangle whose vertices are A(2,1) B(4,3) and C(2,5)
ABCD is a rectangle whose three vertices are A(4,0), C(4,3) and D(0,3). Find the length of one its diagonal.
If the point P(k-1, 2) is equidistant from the points A(3,k) and B(k,5), find the value of k.
Find the coordinates of circumcentre and radius of circumcircle of ∆ABC if A(7, 1), B(3, 5) and C(2, 0) are given.
The ordinate of any point on x-axis is
If points Q and reflections of point P (−3, 4) in X and Y axes respectively, what is QR?
Write the condition of collinearity of points (x1, y1), (x2, y2) and (x3, y3).
What is the distance between the points \[A\left( \sin\theta - \cos\theta, 0 \right)\] and \[B\left( 0, \sin\theta + \cos\theta \right)\] ?
Write the equations of the x-axis and y-axis.
If segment AB is parallel Y-axis and coordinates of A are (1, 3), then the coordinates of B are ______
Ordinate of all points on the x-axis is ______.
Find the coordinates of the point whose ordinate is – 4 and which lies on y-axis.
Seg AB is parallel to X-axis and coordinates of the point A are (1, 3), then the coordinates of the point B can be ______.
Ryan, from a very young age, was fascinated by the twinkling of stars and the vastness of space. He always dreamt of becoming an astronaut one day. So, he started to sketch his own rocket designs on the graph sheet. One such design is given below :
Based on the above, answer the following questions:
i. Find the mid-point of the segment joining F and G. (1)
ii. a. What is the distance between the points A and C? (2)
OR
b. Find the coordinates of the points which divides the line segment joining the points A and B in the ratio 1 : 3 internally. (2)
iii. What are the coordinates of the point D? (1)
