Question

Find the value of c.

Answer 1

@hartnn

Answer 2

oh, same formula!
2*legs^2 = hypotenuse^2
here, legs = 5 sqrt 2 and hypotenuse = C

Answer 3

but if there is already a square root, how do i get the sqaure roots of those? for the next step?

Answer 4

Since the angles in a triangle must add up to 180, you know that the last remaining angle is 45 degrees. Since there are two 45 degree angles, these angles are equal, so the sides opposite them must also be equal. From here you can use the Pythagorean theorem:
\[a^2 + b^2 = c^2\]Where a and b are the legs and c is the hypotenuse.

Answer 5

ok. so, 5*sqrt(2)^2+5*sqrt(2)^2=c^2

Answer 6

yes, but don't forget the brackets
\((5\sqrt2)^2+(5\sqrt2)^2=c^2 \\25\times 2+25\times 2=c^2\\c^2 =100 \implies c=10\)