The perimeter of an isosceles triangle is equal to 14 cm; the lateral side is to the base in the ratio 5:4. The area of the triangle is :
Solution (By Examveda Team)
Let lateral side = (5x)cm and base = (4x) cm5x+5x+4x=14 or x = 1
So, the sides are 5 cm, 5 cm and 4 cm
Semi perimeter, S = 1/2(5+5+4)cm = 7cm.
(s-a)=2cm, (s-b)=2cm and (s-c)=3cm
Area of triangle
= √(s(s-a)(s-b)(s-c))
= √(7×2×2×3)
= 2√21
This Question Belongs to User Ask Question >> Miscellaneous
It is not a scalene triangle...how can you use this formula?
how can we construct a right angled triangle whose hypotenuse and altitude are of same length ?????
correct answer is 2sqrt(21).