Correct option is D
Given:
∆ABC is an isosceles triangle with ∠ABC = 90°
Concept used:
· Right-angled triangle with a 90° angle at B.
· Since it’s isosceles, sides AB = BC.
· Use Pythagoras Theorem: In right-angled triangle, (Hypotenuse)² = (Base)² + (Height)²
Formula used:
In ∆ABC,
If AB = BC and ∠ABC = 90°,
Then AC² = AB² + BC² = 2(AB)²
In ∆ABC,
If AB = BC and ∠ABC = 90°,
Then AC² = AB² + BC² = 2(AB)²
Solution:
Since AB = BC and angle B = 90°,
=> AC² = AB² + BC²
=> AC² = AB² + AB² = 2(AB)²
Since AB = BC and angle B = 90°,
=> AC² = AB² + BC²
=> AC² = AB² + AB² = 2(AB)²
Correct answer is (d) (AC)² = 2(AB)².
English
150 Questions
150 Marks
150 Mins
