Answer:
42.42 yards
Step-by-step explanation:
Given :-
- A right triangle has a leg of length 15 yards and a hypotenuse of length 45 yards .
And we need to find the length of other leg. So since it is a right angled triangle we can use the Pythagoras Theorem which is ,
Pythagoras Theorem :-
- In right angle triangle sum of squares of two smallest sides that is base and perpendicular is equal to the square of the largest side that is hypotenuse .
Using Pythagoras Theorem :-
[tex]:\implies[/tex] p² + b² = h²
[tex]:\implies[/tex] 15² + p² = 45²
[tex]:\implies[/tex] 225 + p² = 2025
[tex]:\implies[/tex] p²= 1800
[tex]:\implies[/tex] p = 42.42
Hence the measure of other leg is 42.42 yards.
