Home » Aptitude » Mensuration » Question
  1. The area of an isosceles triangle is 4 square unit. If the length of the third side is 2 unit, the length of each equal side is
    1. 4 units
    2. 2√3 units
    3. 17 units
    4. 3√2 units
Correct Option: C

Using Rule 1,

Let, AB = AC = x units
BD = DC = 1 unit [∵ BC = 2 units]
Now, AD = √AB² - BD²
= √x² - 1

1
× BC × AD = 4
2

1
× 2 × √x² - 1 = 4
2

⇒ √x² - 1 = 4
⇒ x² – 1 = 16
⇒ x² = 17
⇒ x = √17units



Your comments will be displayed only after manual approval.