Question

The perimeter of an isosceles triangle is 50 m and its base is 24 m. Calculate area.

Answer 1

Answer :

Area of isosceles triangle is 60 cm² .

Step-by-step explanation :

Given,

Perimeter of isoceles triangle = 50 m

Base = b = 24 m

Perimeter of triangle -

⇒ a + b + a

⇒ 50 = 2a + 24

⇒ 50 - 24 = 2a

⇒ 26/2 = a = 13

Height (h) of the isoceles triangle -

⇒ (b/2)² + h² = a²

⇒ (24/2)² + h² = (13)²

⇒ (12)² + h² = 169

⇒ h² = 169 - 144

⇒ h = √25 = 5

Area of isoceles triangle -

⇒ (b × h)/2 sq. units

⇒ (24 × 5)/2 cm²

⇒ 120/2 cm²

⇒ 60 cm²

Answer 2

hope its help u........