Answer :
Answer:
To find the length of the leg of the triangle when given the lengths of the other two sides, you can use the Pythagorean theorem. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
So, if
=
a=x,
=
5
b=5, and
=
12
c=12, we have:
2
+
2
=
2
a
2
+b
2
=c
2
Substitute the given values:
2
+
5
2
=
1
2
2
x
2
+5
2
=12
2
2
+
25
=
144
x
2
+25=144
2
=
144
−
25
x
2
=144−25
2
=
119
x
2
=119
=
119
x=
119
So, the length of the leg of the triangle is
119
Square root 119
.
