Question is Incomplete; Complete question is given below;
Which best approximates the lengths of the legs of a right triangle if the hypotenuse is 125 mm and the shorter leg is one-half the length of the longer leg?
A. 25 mm and 55 mm.
B. 56 mm and 112 mm.
C. 5 mm and 10 mm.
D. 63 mm and 63 mm.
Answer:
B. 56 mm and 112 mm.
Explanation:
Given:
Length of the hypotenuse = 125 mm
the shorter leg is one-half the length of the longer leg.
Let the length of the longer leg be 'x'.
So the length of the shorter leg =

we need to find the shorter and longer lengths of the triangle.
Solution:
Since it is given that the triangle is right angled triangle.
Then by using Pythagoras theorem which states that;
"The sum of the square of the the lengths of the legs of a right angle triangle is equal to square of its hypotenuse."
Framing in equation form we get;

Now taking LCM to make the denominator we get;

Now Multiplying both side by
we get;

Taking square root on both side we get;

Length of longer leg = 112 mm
Length of shorter leg =

Hence best approximates the lengths of the legs of a right angled triangle 112 mm and 56 mm.