Question

A plot of land is triangular in shape as shown below. The shaded section inside the triangle shows the shape of a farm on the plot

http://www.photoshop.com/users/doctorwho15/assets/919d3caaa9c04d908577e58a1a661a82

Jose said that the shape of the farm is not a rectangle with angles equal to 90°. Jose is correct. How did he arrive at this conclusion? Using complete sentences, justify your answer.

Answer 1

Ok, so what I'm getting is that we need to prove that the triangle isn't a right triangle. This can be done with the Pythagorean Theorem: a^2+b^2=c^2

Answer 2

Just plug the numbers in and see if the equation still stays true.

Answer 3

so like this

67^2 + 56^2=33^2
4489 + 3136 =1089

90 not equal to 1089

Answer 4

Um, kinda. You got the right idea, just the plugging in wasn't perfect. c represents the hypotenuse, so 67 would be substituted into c, not a.

Answer 5

so then like this

56^2 + 33^2= c^2
3136 + 1089 = c^2
4225=c^2
sqrt 65

Answer 6

yeah, and 65 does not equal 67 so the triangle is not a right triangle.

Answer 7

Does that make sense?

Answer 8

yea so for my answer i will show my equation and then say that it is not a right triangle becuase the correct answer should be 65 not 67

Answer 9

Yep, you got it :)

Answer 10

awesome. im gonna post one more question then im done, thanks so much for all your help

Answer 11

Glad to be of help