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
- \[2 + \sqrt{2}\]
Advertisements
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
A line intersects the y-axis and x-axis at the points P and Q respectively. If (2, –5) is the mid-point of PQ, then find the coordinates of P and Q.
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.
Two vertices of an isosceles triangle are (2, 0) and (2, 5). Find the third vertex if the length of the equal sides is 3.
In what ratio is the line segment joining the points (-2,-3) and (3, 7) divided by the y-axis? Also, find the coordinates of the point of division.
Find the ratio in which the line segment joining (-2, -3) and (5, 6) is divided by y-axis. Also, find the coordinates of the point of division in each case.
Prove that the points A(-4,-1), B(-2, 4), C(4, 0) and D(2, 3) are the vertices of a rectangle.
If A and B are (1, 4) and (5, 2) respectively, find the coordinates of P when AP/BP = 3/4.
Show that the points A (1, 0), B (5, 3), C (2, 7) and D (−2, 4) are the vertices of a parallelogram.
Find the area of quadrilateral PQRS whose vertices are P(-5, -3), Q(-4,-6),R(2, -3) and S(1,2).
Point P(x, 4) lies on the line segment joining the points A(−5, 8) and B(4, −10). Find the ratio in which point P divides the line segment AB. Also find the value of x.
A point whose abscissa and ordinate are 2 and −5 respectively, lies in
The abscissa of any point on y-axis is
If A(−3, 5), B(−2, −7), C(1, −8) and D(6, 3) are the vertices of a quadrilateral ABCD, find its area.
Two vertices of a triangle have coordinates (−8, 7) and (9, 4) . If the centroid of the triangle is at the origin, what are the coordinates of the third vertex?
If P is a point on x-axis such that its distance from the origin is 3 units, then the coordinates of a point Q on OY such that OP = OQ, are
If A(x, 2), B(−3, −4) and C(7, −5) are collinear, then the value of x is
If point P is midpoint of segment joining point A(– 4, 2) and point B(6, 2), then the coordinates of P are ______
Point (0, –7) lies ______.
Abscissa of a point is positive in ______.
Points (1, –1) and (–1, 1) lie in the same quadrant.
