Answer:
Option (A)
Step-by-step explanation:
From the triangle ABC given in the picture,
Since, ∠BAC and ∠BCA are equal in measure, opposite sides of these angles will be equal.
AB = BC
Therefore, ΔABC is an isosceles triangle.
By applying Pythagoras theorem in ΔABC,
AB² + BC² = AC²
AB² + AB² = AC² [Since, AB = BC]
2(AB)² = AC²
2(AB)² = (26)²
AB² = [tex]\frac{676}{2}=338[/tex]
AB = [tex]\sqrt{338}[/tex]
AB = [tex]\sqrt{169\times 2}[/tex]
= [tex]13\sqrt{2}[/tex] units
Therefore, Option (A) will be the answer.
