Question

HOW do you solve this?

What could be the side lengths of a right triangle?
A. 27, 35, 43
B. 26, 34, 42
C. 25, 33, 41
D 24, 32, 40

Answer 1

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 2

D.

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;

`a^2+b^2=c^2\\`

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;

`a^2+b^2=c^2\\\\24^2+32^2=c^2\\\\\\576+1024=1600\\\\c^2=1600\\\\c=√(1600) =40`

Hence option D is correct where ;

`24^2+32^2=40^2`