The expression g = f/2 represents the relationship between g and f if j = h and k = m option (A) is correct.
What is the Pythagoras theorem?
The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
It is given that:
If j = h and k = m
From the figure angle, C is a right-angle triangle as j = h and k = m
From the definition of the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides
h² +k²= g²
From the triangle ΔABC
(j + h)² +(m + h)² =f²
(h + h)² +(k+ k)² =f²
(2h)² +(2k)²=f²
4h²+ 4k²= f²
4(h²+k²)= f²
4×g² =f²
(2g)² = f²
2g=f
g = f/2
Thus, the expression g = f/2 represents the relationship between g and f if j = h and k = m option (A) is correct.
Learn more about Pythagoras's theorem here:
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