Respuesta :
According to the Pythagorean theorem:
17² = a² + b²
and a, b ∈ N
289 = a² + b²
289 = 225 + 64
289 = 15² + 8²
Answer:
The lengths of the two legs are a = 15 and b = 8.
17² = a² + b²
and a, b ∈ N
289 = a² + b²
289 = 225 + 64
289 = 15² + 8²
Answer:
The lengths of the two legs are a = 15 and b = 8.
Answer:
15 and 8 will be the two legs
Step-by-step explanation:
we have been given with hypotenuse of a right angle triangle which is 17
And by pythagoras theorem
[tex]c^2=a^2+b^2[/tex]
C is hypotenuse is one side and b is the other side.
we have given c which is 17
We have to find two numbers whose sum of squares is 289
289=225+64
So, the number would be 15 and 8
because square of 15 is 225 and square of 8 is 64
Hence, will satisfy the condition of right angle triangle
[tex]17^2=15^2+8^2[/tex]