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how to find if triangles are right angled or not with Pythagoras theorem?
one side is 5m and 12m, hypotenuse is 14m. how can I work it out to prove if right angled or not? not looking for the number answer but a brief explanation to work it. thanks!
4 Answers
- ?Lv 76 years ago
5^2+12^2 = 13^2
So it is not a right angled triangle.
You could also use the cosine rule
14^2 = 5^2+12^2-2*5*12*cos x
x = 103 degrees
- AlLv 76 years ago
You seem to have a very passing aquaintence with Pythagoras' Theorem. Square the 5, square the 12. Add the two answers. Take the square root of that answer. If it is equal to 14 then it IS a right triangle. Good grief.
- JBLv 76 years ago
If c is the longest side and a, b the other two sides then:
if c^2 = a^2 + b^2 then angle C (i.e. the angle opposite to c) is a right angle
if c^2 > a^2 + b^2 then angle C is an obtuse angle
if c^2 < a^2 + b^2 then angle C is an acute angle
