Pythagorean Theorem help? Math homework!?

a^2 + b^2 = c^2

5^2 + 14^2 = c^2

c^2 = 25 + 196

c= sqrt 221 = approx. 14.8

or ...

5^2 + b^2 = 14^2

b^2 = 196 - 25

b= sqrt 171 = approx. 13.1

To do a million i could use graph paper and draw the triangle. Draw the three aspects and draw the three factors. in case you do no longer use graph paper in straightforward terms use lined paper and draw the x and y axis and upload some coordinates and then plot the three aspects. this sort you ought to tell which one is the hypotenuse. The hypotenuse is the longer of the three factors. 2 of the perimeters ought to make a acceptable perspective. right it extremely is a by using fact of do it without drawing even however: Step a million discover the lengths of the three factors a) From (a million,-2) to (0.5) is sqrt(a million + 40 9) or sqrt(50) b) from (0.5) to (-3, a million) is sqrt(9 + sixteen) = 5 c) from (-3,a million) to (a million,-2) is sqrt(sixteen + 9) = 5 d) ensure 5^2 + 5^2 = 50. Notation: sqrt(x) is the sq. root of x The sq. root of x is the determination which you multiply by way of itself to get x The sq. root of 25 is 5 to illustrate by using fact 5 speeded up by way of itself is 5 right here you're taking great element relating to the Pythagorean Theorem: in a acceptable triangle, the sum of the squares of the two legs is the sq. of the hypotenuse. (The hypotenuse is the longer area and that's opposite the wonderful perspective). A widespread acceptable triangle has lengths 3, 4, and 5 by using fact 9 + sixteen = 25. to purpose this I used the pythagorean theorem 4 different situations. on the coordinate airplane, the size of a line between 2 aspects (x0,y0) and (x1,y1) is the sq. root of (x0-x1)^2 + (y0-y1)^2.