Can the sides 30, 40, 50 be a right triangle?

2 Answers
Jun 10, 2015

Answer:

If a right angled triangle has legs of length #30# and #40# then its hypotenuse will be of length #sqrt(30^2+40^2) = 50#.

Explanation:

Pythagoras's Theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides.

#30^2+40^2 = 900+1600 = 2500 = 50^2#

Actually a #30#, #40#, #50# triangle is just a scaled up #3#, #4#, #5# triangle, which is a well known right angled triangle.

Jun 10, 2015

Answer:

Yes it can.

Explanation:

To find out whether the triangle with sides 30, 40, 50, you would need to use the Pythagoras theorem #a^2+b^2=c^2# (equation for calculating unknown side of a triangle).
Substituting the variables we get the equation #30^2+40^2=c^2# we won't substitute 50. because we are trying to find whether this equals 50
#30^2+40^2=c^2#
#2500=c^2#
#sqrt2500=c#
#50=c#
Therefore because 'c' equals 50 we know that this triangle is a right triangle.