Question

If the perimeter of an isosceles triangle is 11 cm and its base is 5cm, its area is 54 √112 . State true or false and give reason.​

Answer 1

P=x+x+5=11cm

2x+5=11cm

2x=6cm⇒x=3cm

Area = ½×h×5

$h = \sqrt{ {3}^{2} - {(5/2)}^{2} } = \sqrt{9 - 25/4} = \sqrt{11/4} \\ \\ Area = \frac{1}{2} \times \sqrt { \frac{11}{4} } \times 5 = \frac{5}{4} \sqrt{11 {cm}^{2} }$

∴True✅