My task is to find the equation of the height in triangle ABC given the coordinates of the three points. The coordinates of the points are: $A(1, 2), B(-2, 1), C(-1, -2)$. The solution that I wrote is: СН is perpendicular to AB. AB has coordinates (-3, -1). It follows that the equation is -3x -1y + C = 0. Point C (-1, -2) lies on the line. $$ 3*(-1) -1 * (-2) + C = 0$$ $$C = -5$$ The equation of CH is: $$-3x -1y -5=0$$ My question is, is this solution to the problem correct?
2026-04-01 12:41:51.1775047311
Еquation of the height in triangle
54 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
There are 1 best solutions below
Related Questions in GEOMETRY
- Point in, on or out of a circle
- Find all the triangles $ABC$ for which the perpendicular line to AB halves a line segment
- How to see line bundle on $\mathbb P^1$ intuitively?
- An underdetermined system derived for rotated coordinate system
- Asymptotes of hyperbola
- Finding the range of product of two distances.
- Constrain coordinates of a point into a circle
- Position of point with respect to hyperbola
- Length of Shadow from a lamp?
- Show that the asymptotes of an hyperbola are its tangents at infinity points
Related Questions in VECTORS
- Proof that $\left(\vec a \times \vec b \right) \times \vec a = 0$ using index notation.
- Constrain coordinates of a point into a circle
- Why is the derivative of a vector in polar form the cross product?
- Why does AB+BC=AC when adding vectors?
- Prove if the following vectors are orthonormal set
- Stokes theorem integral, normal vector confusion
- Finding a unit vector that gives the maximum directional derivative of a vector field
- Given two non-diagonal points of a square, find the other 2 in closed form
- $dr$ in polar co-ordinates
- How to find reflection of $(a,b)$ along $y=x, y = -x$
Related Questions in ANALYTIC-GEOMETRY
- Asymptotes of hyperbola
- Position of point with respect to hyperbola
- Length of Shadow from a lamp?
- Show that the asymptotes of an hyperbola are its tangents at infinity points
- Surface by revolution
- All possible values of coordinate k such that triangle ABC is a right triangle?
- Triangle inside triangle
- Is there an equation to describe regular polytopes?
- How do I prove that the gradient between a fixed and any general point on a given line is $m$?
- Three-Dimensional coordinate system
Related Questions in COORDINATE-SYSTEMS
- How to change a rectangle's area based on it's 4 coordinates?
- How to find 2 points in line?
- Am I right or wrong in this absolute value?
- Properties of a eclipse on a rotated plane to see a perfect circle from the original plane view?
- inhomogeneous coordinates to homogeneous coordinates
- Find the distance of the point $(7,1)$ from the line $3x+4y=4$ measured parallel to the line $3x-5y+2=0.$
- A Problem Based on Ellipse
- Convert a vector in Lambert Conformal Conical Projection to Cartesian
- Archimedean spiral in cartesian coordinates
- How to find the area of the square $|ABCD|$?
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?
You have neglected the first rule with such questions:
If you would have done that, you would have realised that you are dealing with a right-angled triangle, which means that two of the sides are heights of the triangle.
This being said, your solution is right, as you can see from this drawing: