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What is Pythagorean Triples?
A set of three numbers a, b, and c that can satisfy the equation
A2+b2= c2, is called a Pythagorean triple. The following is a list of some Pythagorean triples: n is any natural number (n= 1,2,3) Example 1: Given a right triangle, where a=6 and b=8, find side c, using Pythagorean triplets. If you factor 2 out of 6 (2 x 3) and 2 out of 8 (2 x 4), you get 3 and 4. These results are part of the Pythagorean triplet (3, 4, 5). The 3 sides match the triplet (3, 4, 5) by a multiple of 2.c = 2.5=10. Example 2: Given a right triangle, where a=15 and c=39, find b, using Pythagorean triplets. The greatest common factor in 15 and 39 is 3. Factor 3 out of 15 and out of 39, giving you 5 and 13. 5 and 13 are part of the Pythagorean triplet: (5, 12, 13). The missing number is 12 multiplied by 3.B= 3.12 =36
Suppose a regular polygon , which is an N-sided with equal side lengths S and similar angles at each corner. There is an inscribed circle to the polygon that has center C and ba
Use the graph of y = x2 - 6x to answer the following: a) Without solving the equation (or factoring), determine the solutions to the equation x 2 - 6x = 0 usi
A farmer's rectangular field has an area in which can be expressed as the trinomial x2 + 2x + 1. In terms of x, what are the dimensions of the field? Because the formula for th
The temperature at 6 P.M. was 31°F. Through midnight, it had dropped 40°F. What was the temperature at midnight? Visualize a number line. The drop from 31° to 0° is 31°. There
How do you find the distributive property any faster?
Logarithm Functions : In this section we'll discuss look at a function which is related to the exponential functions we will learn logarithms in this section. Logarithms are one o
Determine y′ for xy = 1 . Solution : There are in fact two solution methods for this problem. Solution 1: It is the simple way of doing the problem. Just solve for y to
Describe Common Phrases to Represent Math Operations? The table below shows the common phrases used in word problems to represent addition, subtraction, multiplication, and div
why it is hard?
A girl has 25 plants in all, 8 of them are tomatos. She has 10 more bean plants than pepper plants. How many pepper plants does she have?
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