114k views
5 votes
Determine if the following triangle is a right triangle or not using the Pythagorean Theorem Converse. Triangle with side lengths of: 8 in, 15 in and 17 in

please answear.

User Enrollment
by
3.4k points

2 Answers

11 votes
it is a RIGHT TRIANGLE

pythagorean theorem: a^2+b^2=c^2

if
a=8
b=15
c=17
then it is a right triangle:

8^2+15^2=17^2
64+225=289
289=289

therefore, it is a right triangle
User Louth
by
3.1k points
11 votes

Answer:

It is a right triangle

Explanation:

Information needed:

Formula: a^2+b^2= c^2

a: leg

b: leg

c: hypotenuse

the longest side is always the hypotenuse, so 17 in

the order of legs don't matter so 8 in and 15 in

Solve:

a^2+b^2= c^2

8^2+15^2= 17^2

64+225= 289

289= 289

Final answer:

It is a right triangle

User Ol Sen
by
3.7k points