3.35 (3 sig.fig)
Triangle ABC
AC = BC, AB = 3, CD perpendicular to AB, CD =3
AC (Hypotenuse)
AC = BC shows that Triangle ABC is an isosceles triangle.
As CD is perpendicular to AB, and, both sides
(AC & BC) have equal angles and length, making the line CD cut right across the triangle.
(Point D is in the middle of Line AB)
Resulting in 2 EQUAL triangles in Triangle ABC.
To find one of the 2 triangles:
1. Take Line AB and divide it in half as both sides are equal.
Line AD = 3 / 2
= 1.5
2. Use the Pythagoras Theorem to find Line AC (Hypotenuse). [c^2 = a^2 + b^2]
a : Line AD = 1.5
b : Line CD = 3
c^2 = 1.5^2 + 3^2
c^2 = 2.25 + 9
c^2 = 11.25
c = (Square Root) 11.25
c = 3.35 (3 significant figure)
Therefore, the answer is:
3.35
