find find the perimeter of each of the following shapes;
i) a triangle of sides 3cm ,4cm
and 5cm
ii) an equilateral triangle of side 9cm
iii) an isosceles triangle with equal sides 8 cm each and third side 6 cm
Answers
Answer:
I) 12cm
ii) 27 cm
iii) 22 cm
Step-by-step explanation:
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Question:
Find the perimeter of each of the following shapes:
- A triangle of sides 3 cm, 4 cm and 5 cm
- An equilateral triangle of side 9 cm
- An isosceles triangle with equal sides 8 cm each and third side 6 cm
Solution:
Need to find: A triangle, an equilateral triangle and isosceles triangle
Given:
- A triangle of sides 3 cm, 4 cm and 5 cm
- An equilateral triangle of side 9 cm
- An isosceles triangle with equal sides 8 cm each and third side 6 cm
Step-by-step explanation:
❂ Let us find the triangle by using the formula Perimeter of triangle = a + b + c
Applying the known values,
➦ Perimeter of triangle = 3 + 4 + 5
➦ Perimeter of triangle = 12 cm
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Now,Let us find the equilateral triangle by using the formula, Perimeter of equilateral triangle = 3a.
Putting the values,
➦ Perimeter of equilateral triangle = 3 × 9
➦ Perimeter of equilateral triangle = 27 cm
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Now,find the isosceles triangle,by using the formula :Perimeter of isosceles triangle = 2a + b
➦ Perimeter of isosceles triangle = 2(8) + 6
➦ Perimeter of isosceles triangle = 16 + 6
➦ Perimeter of isosceles triangle = 22 cm
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Required answer:
- Therefore,the perimeter of triangle is 12 cm,perimeter of equilateral triangle is 27 cm and Perimeter of isosceles triangle is 22 cm.
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