Question

A triangle has sides with lengths of 6 yards, 14 yards, and 19 yards. Is it a right triangle?

Answer 1

NO

Explanation:

to work this out, you will need to use the Pythagoras theorem. This only works for a right triangle so it will prove if this is a right angle.

Pythagoras Theorem:

`a^(2) +b^(2) =c^(2)`

a and b are the two smaller sides (6 and 14 yards)

c is the largest side (19 yards)

to calculate this, place the lengths of sides a and b into the equation:

`6^(2) + 14^(2) = 232`

the formula states that the answer (232) is the length of side c squared. to calculate just the length of c, we need to square root 232.

`√(232)=15.23... yards`

this is NOT equal to 19 yards (the length of side c) therefore this NOT a right triangle as the Pythagoras theorem only works for right triangles

I HOPE THIS WAS HELPFUL :-)