Determine if a triangle with sides 28 45 and 53 is a right t

Determine if a triangle with sides 28, 45, and 53 is a right triangle. 28(2) + 45(2) = 53(2)? 56 + 90 = 106? 146 notequalto 106 No, it is not a right triangle. The grid below shows the approximate locations of some popular Chicago destinations as they relate to the center of the city (at State and Madison). Each has been labeled according to the chart at left. Use this grid to complete problems 22-24 on the next page; remember to show all your calculations using aerial distance. Art Institute of Chicago A Buckingham Fountain B Chicago Theater H Civic Opera House O Chicago Cultural Center C Daley Center (Picasso) D Harold Washington Library L Merchandise Mart M Millennium Park K Navy Pier N Petrillo Music Shell R Pritzker Pavilion P Symphony Center S Tribune Towers T Willis (Sears) Tower W

Solution

From Pythagoras Theorem: a^2+b^2=c^2 i.e., hypotenuse(in this case c) is always the longest of the 3 sides.

So, 28^2+45^2=53^2; 784+2025=2809. Hence 28,45, and 53 form a right triangle.

In the question above, instead of raising 2 to the exponent of these numbers, they have been multiplied by them which leads to the error shown in the given image.