ANSWER
True
EXPLANATION
The given triangle has a right angle.
The hypotenuse is 64 units.
One of the shorter legs is 48 units.
The other shorter leg is 'a' units.
According to the Pythagoras Theorem, the sum of the length of the squares of the two shorter legs equals the square of the hypotenuse.
[tex] {a}^{2} + {48}^{2} = {64}^{2} [/tex]
[tex] {a}^{2} + 2304 = 4096[/tex]
[tex] {a}^{2} = 4096 - 2304[/tex]
[tex] {a}^{2} =1792[/tex]
[tex]a = \sqrt{1792} [/tex]
[tex]a = 42.33 \: units[/tex]
This is approximately 42 units.
