Question

The area of an isosceles triangle is 8 root 15 cm2

. If the base is 8 cm, find the length of each of its equal sides.​

Answer 1

Answer:

hope it's help full to you

Answer 2

Answer:

Length of the equal sides is 2√19 cm

Step-by-step explanation:

Area of the Triangle=8√15²

8√15=1/2 bh

8√15=1/2 x 8 x h

8√15=4 x h

h=8√15/4

h=2√15cm

In triangle ABC, AB=BC and AD=DC

so, DC=AC/2

DC=8/2

DC=4cm

Consider triangle ADC, In which AC is the hypotenuse

AC²=AD²+DC²

AC²=(2√15)² + 4²

AC²=2² x 15 + 4²

AC²= 4 x 15 + 16

AC²= 60+16

AC²=76

Then, AC= √4 x √19

AC=2√19cm