Answer:
you just need memorize some of the side lengths of right triangle, or you can use this formula to calculate: a^2 + b^2 = c^2
For example, you need memoreize this group of side lengths of right triangle: 3 , 4 , 5
and in your options, there is a group is same as 3, 4 , 5 but it's 8 times bigger.
The answer is:
D. 24, 32, 40
Answer:
D.
Step-by-step explanation:
In a right triangle, the sum of the squares of the two shorter sides will equal the square of the longest side.
The law to observe here is the Pythagorean theorem where;
[tex]a^2+b^2=c^2\\[/tex]
where a and b are the two shorter sides where as c is the longest side/hypothenuse
In this question the last option is correct.How?
Lets take a=24 and b=32, what is c?
You apply;
[tex]a^2+b^2=c^2\\\\24^2+32^2=c^2\\\\\\576+1024=1600\\\\c^2=1600\\\\c=\sqrt{1600} =40[/tex]
Hence option D is correct where ;
[tex]24^2+32^2=40^2[/tex]
