Question

Calculate the length of AC​

Answer 1

Answer:

Length of the side AC is 12 units.

Step-by-step explanation:

Here, in the triangle ABC

Base = 5 units

Let, Perpendicular = k units

Hypotenuse = 13 units

In a Right angle triangle, by PYTHAGORAS THEOREM:

$(Base)^{2} + (Perpendicular)^{2} = (Hypotenuse)^{2}$

Similarly, in triangle ABC

$(AB)^{2} + (AC)^{2} = (BC)^{2}$

or, $(5)^{2} + (k)^{2} = (13)^{2}$

⇒$k^{2} = 169 - 25 = 144$

⇒ k = 12, or k= -12

But as k is the length of a side of a triangle so, k ≠  -12

⇒ k = 12

Hence,  the length of the side AC = 12 units.