Question

base of an isosceles traingle is 24cm and its area is 192cm2, find perimtere?

Answer 1

Step-by-step explanation:

The base of an isosceles triangle measures 24 cm and its area is 192cm2 , Find its perimeter. but area =192cm2[given ]. ⇒a2-144=256⇒a2=400⇒a=20.

Answer 2

Given

• Base of isosceles triangle (b) = 24 cm
• Area of isosceles triangle (A) = 192 cm²

To find

• Perimeter (P)

Solution

• Area = ¼ × b √4a² - b²
• Area = ¼ × 24 × √4a² - 576
• Area = 12 × √a² - 144
• 192 = 12 × √a² - 144
• ¹⁹²⁄₁₂ = √a² - 144
• √a² - 144 = 16  (√ is transferred)
• a² - 144 = 256
• a² = 400
• a = √400
• a = 20

☯ We have, a and b, let's find Perimeter :

• Perimeter = 2a + b
• Perimeter = 2 × 20 + 24
• Perimeter = 64

☯ Perimeter of the isosceles triangle is 64 cm²