873 Math Blog

Vocabulary:

legs-in right triangles the legs are the sides which make the right angle.
Greek- a person born or living in ancient or modern Greece.
hypotenuse-is the longest side in a right triangle and it is the opposite of the right angle.
theorem- is a statement which we shall prove to be true from previously known facts, namely definitions, postulates and already proved theorems.


This problem was given as a homework last Feb. 23, 2009.













What is the perimeter of the orange triangle?

In this problem, the figure is composed of a triangle and a square. A side of a square (s) is equal to the hypotenuse (c) of the right triangle.

s = c


First we have to solve for the sides of the squares to get the hypotenuse (c) of the right triangle.

Given the Area of the square



































For the triangle:



















to solve for the missing side of the triangle we have to use the Pythagorean Theorem which states that the square of the hypotenuse is equal to the sum of the squares of the 2 legs of the triangle














to solve for the perimeter of the triangle


P= 3s or
P= s+s+s
P= 17+25+30.23
P= 72.23 perimeter of the orange triangle



problem #2
























This problem was given last Feb. 24, 2009. In this problem, we can see that there are 4 identical right triangles and a square. The sides of the square is equal to the legs of the right triangles. Now given the area of the square, we can find the sides of the square.


















from this we can find the missing side of the right triangles, the hypotenuse (c)
s = a = b
a = 15
b = 15
c = ?





Using the Pythagorean theorem









We know that perimeter is the distance around the polygon

P = (15+21.21) + ( 15+21.21) + (15+21.21) + (15+21.21)
P = 144.84
or
P = 4 (15) +4 (21.21)
= 60+84.84
P =144.84 perimeter of the board game