SOLUTION: please help me solve this problem eddie drew a triangle with two sides that forms a right angle. look at each set of measures. could they be the side lengths of the triangle that

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Question 964088: please help me solve this problem
eddie drew a triangle with two sides that forms a right angle. look at each set of measures. could they be the side lengths of the triangle that eddie drew? type yes or no for each letter.
a. 5in., 12in., 13in.
b. 9in., 12in., 15in.
c. 3in., 3in., 4in.
d. 6in., 10in., 12in.
e. 8in., 8in., 8in.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
To be a right triangle, the sum of the squares of the legs must equal the square of the longest side (hypotenuse):
a%5E2%2Bb%5E2=c%5E2
.
a. 5in., 12in., 13in.
5%5E2%2B12%5E2=13%5E2
25%2B144=169
169=169 True
ANSWER: Yes
.
b. 9in., 12in., 15in.
9%5E2%2B12%5E2=15%5E2
81%2B144=225
225=225 True
ANSWER: Yes
.
c. 3in., 3in., 4in.
3%5E2%2B3%5E2=4%5E2
9%2B9=16
18=16 FALSE
ANSWER: No
.
d. 6in., 10in., 12in.
6%5E2%2B10%5E2=12%5E2
36%2B100=144
136=144 FALSE
ANSWER: No
.
e. 8in., 8in., 8in.
This triangle is equilateral, so it can not be a right triangle.
ANSWER: No