Triangle Properties and Calculations in Geometry
This document provides answers to various triangle-related geometry questions, including calculations of triangle centers such as the orthocenter and intersection of medians, side lengths, triangle type classifications, and area computations. Specific triangles like A(4,4), B(8,10), and C(12,4) are analyzed for median intersection points, while others are evaluated for their geometric properties based on given vertices. The document also discusses perimeter conditions and triangle inequality.
Triangle Properties and Calculations in Geometry
E N D
Presentation Transcript
Answer: no Question: A triangle has vertices A(4, 4), B(8,10), and C(12,4) Determine the point of intersection of the medians, and state its coordinates.
Answer: d Question: Find the coordinates of the orthocenter of the following triangle.
Answer: (8,6) Question: If A(3,2) and B(5,-10), find the length of AB.
Answer: 19 Question: In what type of triangle is the orthocenter outside of the triangle?
Answer: Obtuse Question: Triangle PQR is a right scalene triangle. If angle Pis the right angle in triangle PQR, which of the following is a valid conclusion? a. b. c. d.
Answer: (0, 0) Question: Triangle JKL is an equilateral triangle, and triangle VUT is its mid-segment triangle. Which of the following is true? a. b. c. d.
Answer: Question: Find the area of a triangle that has points A(0,4), B(-3,0), and C(3,0).
Answer: right • Question: Is it possible to make a triangle with side lengths 3 in, 4 in, and 7 in?
Answer: 12 Question: Let BD= 2x +6 and AE= 5x -7. Given B is the midpoint of side CA, and D is the midpoint of side CE, find the value of x.
Answer: a Question: If the perimeter of the triangle is 40. Is the following triangle possible? 4x + 5
Answer: 11 Question: If J(-4,0), E(-2, -4), N(2, -2) Classify triangle JEN by its angles.
5x+ 11˚ 7x - 8˚ 3x + 12˚ Answer: yes Question: Find the value of x.
