What is the area of triangle ABC with vertices?

9/2 square units
Example: What is the area of the ∆ABC whose vertices are A(1, 2), B(4, 2) and C(3, 5)? A = (1/2) [-3 + 12]= 9/2 square units. Therefore, the area of a triangle ABC is 9/2 square units. To know more about coordinate geometry and areas of polygons in a coordinate plane, log onto www.byjus.com.

What is the perimeter of \triangle ABC △ ABC?

To find the perimeter of \triangle ABC we use the Pythagorean Theorem which tells us that |AB|^2 = |AC|^2 + |BC|^2. Since |AC| = 5 and |BC| = 12 we find that |AB| = \sqrt{169} = 13. The perimeter of \triangle ABC is then 5 + 12 + 13 = 30 units.

How many vertices are there in a triangle?

3
Triangle/Number of vertices

How do you find the area of ABC triangle?

Triangle area formula A triangle is one of the most basic shapes in geometry. The best known and the simplest formula, which almost everybody remembers from school is: area = 0.5 * b * h , where b is the length of the base of the triangle, and h is the height/altitude of the triangle.

How do you find the area of ABC?

Area of ΔABC = 1/2 × Base × Height. Let us know the basics of the area of a triangle. If ABC is an equilateral triangle, Area of ΔABC = (√3/4)a2 where a is the length of a side of the equilateral triangle.

What are the sides of triangle ABC?

The three sides for triangle ABC shown above, written symbolically as △ABC, are line segments AB, BC, and AC. A vertex is formed when two sides of a triangle intersect. △ABC has vertices at A, B, and C. An interior angle is formed at each vertex.

What are the vertices of triangle?

What is the area of triangle ABC?

△ABC has vertices A(4,2),B(3,9) and C (10,10). Hence, area of triangle ABC is 25. How satisfied are you with the answer?

How do you calculate the area of a triangle?

Triangle area calculator by points. Uses Heron’s formula and trigonometric functions to calculate area and other properties of a given triangle. The calculator uses the following solutions steps: From the three pairs of points calculate lengths of sides of the triangle using the Pythagorean theorem.

What is the median to side B(TB) in triangle ABC?

Median to side b (tb) in triangle ABC is 12 cm long. a. What is the distance of the center of gravity T from the vertex B? b, Find the distance between T and the side b. Three circles of radius 95 cm 78 cm and 64 cm is mutually tangent.

How are the triangles ABC and a B C similar?

The triangles ABC and A “B” C “are similar to the similarity coefficient 2. The sizes of the angles of the triangle ABC are α = 35° and β = 48°. Find the magnitudes of all angles of triangle A “B” C “. In triangle In triangle ABC, the magnitude of the internal angle gamma is equal to one-third of the angle alpha.