Answer:
The legs of a 45 45 90 triangle are congruent so if one leg is x we can write (using the Pythagorean Theorem):
x² + x² = 18²
2x² = 324
x² = 162
x = 9√2
X=2
because if you subtract 3x on both sides you end up with x=2 <span />
Solution:
we are given that
The magnitudes of the moon and Sirius are -12.5 and -1.44 respectively.
we have been asked to find approximately how many times is the moon brighter than Sirius?
The word magnitude is used by the scientist to describe the brightness of moon/star/object etc.
So we can find the brightness by dividing the given values. so we get

Hence we can say
The moon is 8.68 times brighter than Sirius.