Question

If the base of an isosceles triangle is 18cm and area Is 108 cm2 find the perimeter
(Answer=48cm

Answer 1

Answer:

48 cm

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Answer 2

Step-by-step explanation:

Area of the triangle = 1/2 × base × height

→ 108 cm^2 = 1/2 × 18 cm × height

→ 108 cm^2 = 9cm × height

→ 108 cm^2/ 9cm = height

→ height = 12cm

Now,

length of each equal side of the triangle = √{( height )^2 + ( half of base )^2}

→ length of each equal side of the triangle = √{(12)^2 + (9)^2} cm

= √ (144 + 81) cm

= √ 225 cm

= 15 cm.

Now,

perimeter of the triangle = length of base + 2 × equal side

→ perimeter = 18cm + 2 × 15cm

→ perimeter = 18cm + 30cm

→ perimeter = 48 cm ANSWER

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