Q33
In an isosceles triangle ABC with AB = AC and AD is perpendicular to BC. If AD = 6 cm and the perimeter of ΔABC is 36 cm, then the area of ΔABC is:
A.
45 cm2
B.
48 cm2
AnswerC.
54 cm2
D.
64 cm2
Answer: Option B
Solution
Answer: Option B
Solution:
Perimeter of triangle ABC = 36 cm
By Pythagorean triplets 6, 8, 10
Now,
a = 8 cm
x = 10 cm
Area of triangle ABC = × 16 × 6 = 48 cm2