The short leg of a 90-45-45 triangle is 3 and the long leg is 7. The hypotenuse would be
.
<h3>What is the Pythagoras theorem?</h3>
The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
The short leg of a 90-45-45 triangle is 3 and the long leg is 7.
Since this is a right triangle, we can use the Pythagoras theorem
a^2+b^2 = c^2
where a and b are the legs and c is the hypotenuse

Hence, The hypotenuse would be
.
Learn more about Pythagoras theorem;
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A fathers age = three less than two times the son's age can be writtens as: f=2s-3. Since the difference in their age, f-s=30, we can solve for s and find that s=f-30. plugging this in to the first equation, we get f=2(f-30)-3 = 2f-60-3 =2f-63
f=2f-64
solvinh for f yields,
f=64
if thr father is 64, the son's age is therfore 64-30=34
This is the concept of algebra, the denominator of y+(y-3)/3 will be as follows;
the expression y+(y-3)/3 can be written as:
y/1+(y-3)/3
the denominator of the first term is 1 and that of the second denominator is 3, to get the common denominator for both terms we multiply both denominators;
thus the common denominator will be:
3*1=3
thus the our common denominator will be 3: