Question

in a triangle ABC
AB=AC=x ;BC=10;and the area of triangle is 60 cm^2. find x

Answer 1

Answer:

x=12

Step-by-step explanation:

x=12cm then the AB=AC=12

Answer 2

Answer: x=13

Step-by-step explanation:

In triangle ABC,

Area= 1/2xbasex height

60=1/2x10xh

h=12 Cm

Now, since we know that height is the perpendicular distance from the vertex and in an isosceles triangle, the perpendicular and median coincide, therefore, the base gets halved.

Now, let AD be the perpendicular. So, in triangle ABD, on applying Pythagoras theorem,

AD^2 + BD^2= AB^2

12^2+5^2=AB^2

144+25=AB^2

AB^2=169

AB=13cm

Therefore AB=AC=13cm