53.6k views
5 votes
Can a right triangle be formed using these squares

Can a right triangle be formed using these squares-example-1
User Wersimmon
by
5.3k points

2 Answers

1 vote

Answer:

Yes, the sum of the smaller squares equals the largest square.

Explanation:

Look at the picture.

In a right triangle, the area of ​​the square whose side is hypotenuse (the longest side of the triangle) is equal to the sum of the squares on the other two sides (shorter sides of the triangle).

We have:

169 < 144 < 25

Check the equality:

169 = 144 + 25

R = 144+ 25 = 169

L = 169

L = R CORRECT

Can a right triangle be formed using these squares-example-1
User Brooks
by
5.0k points
5 votes

Yes because the sides of square 1 is 5, square 2 is 12, and square 3 is 13. 5,12,13 is a known pythagorean triple and you can prove that 5^2 + 12^2 = 13^2. 25+144 does indeed equal 169.

User Pressacco
by
5.6k points