Perpendicular medians
9:25 PM
Muhammad Yusuf
, Posted in
Suppose the medians AA' and BB' of triangle ABC intersect at right angles. If BC = 3 and AC = 4, what is the length of side AB?
Subscribe to:
Post Comments (Atom)
-
1. Angles along a straight line add to 180 0 . They are called supplementary angles. 2. Angles in a right angle add to 90 0 . They ar... -
Problem: Consider the diagrams below. If the pattern continues, how many squares will there be in Diagram 50? Diagram 100? Figure 1...
-
Carl Friederich Gauss is one of the most prolific mathematicians of all time. In fact, he is considered by many as the “Prince of Mathema...
-
Example #1: An Italian sausage is 8 inches long. How many pieces of sausage can be cut from the 8-inch piece of sausage if each piece is t...
-
We have learned from elementary school mathematics that a prime number has only two factors, 1 and itself. For example, 2, 3, 5 and 7 ar...
-
University Of New Brunswick Junior High School Mathematics Competition 2011 – Grade 9 PART B 11. Jane has 5 chocolate bars, Karen has 3, a... -
1. Which of the following expressions is equal to 5? (A) (2 x 3) 2 (B) 3 + 2 2 (C) 2 3 - 1 (D) 3 2 - 2 2 (E) (3 + 2) 2 2. Nick charg... -
The Pythagorean theorem states that if a right triangle has side lengths and , and that is its hypotenuse (longest side), then ...
-
3. Find the sum of the coefficients in the expansion of (3x – 1) 4 4. Point A is on a circle whose center is O, AB is tangent to the c...
Perpendicular medians can occur only in a right triangle as in the triangle graphed here, also one of the medians has to be drawn from the vertex containing the right angle to the hypotenuse. If the two sides are 3 and 4, then hypotenuse has to be 5, which makes this a 3-4-5 right triangle.