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Isosceles triangles were used to construct a bridge in which the base (unequal side) of an isosceles triangle is 4 cm and its perimeter is 20 cm. What is the semi perimeter of the Isosceles triangle?

  • a)
    30 cm

  • b)
    40 cm

  • c)
    10 cm

  • d)
    50 cm

Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Isosceles triangles were used to construct a bridge in which the base ...
Required semi perimeter = Perimeter/2 = 20/2 = 10 m.
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Most Upvoted Answer
Isosceles triangles were used to construct a bridge in which the base ...
Solution:

Given:
Base of the isosceles triangle = 4 cm
Perimeter of the isosceles triangle = 20 cm

Let the two equal sides of the isosceles triangle be 'a' cm each.

To find:
Semi-perimeter of the isosceles triangle.

Explanation:

Step 1: Finding the length of the equal sides
The perimeter of a triangle is the sum of all its three sides.
Given that the perimeter of the isosceles triangle is 20 cm.
So, we can write the equation as:
a + a + 4 = 20
2a + 4 = 20
2a = 20 - 4
2a = 16
a = 16/2
a = 8

Therefore, the length of the equal sides of the isosceles triangle is 8 cm each.

Step 2: Finding the semi-perimeter
The semi-perimeter of a triangle is half of its perimeter.
So, the semi-perimeter (s) can be calculated as:
s = (a + a + 4)/2
s = (8 + 8 + 4)/2
s = 20/2
s = 10

Therefore, the semi-perimeter of the isosceles triangle is 10 cm.

Hence, the correct option is (c) 10 cm.
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Isosceles triangles were used to construct a bridge in which the base (unequal side) of an isosceles triangle is 4 cm and its perimeter is 20 cm. What is the semi perimeter of the Isosceles triangle?a)30 cmb)40 cmc)10 cmd)50 cmCorrect answer is option 'C'. Can you explain this answer?
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Isosceles triangles were used to construct a bridge in which the base (unequal side) of an isosceles triangle is 4 cm and its perimeter is 20 cm. What is the semi perimeter of the Isosceles triangle?a)30 cmb)40 cmc)10 cmd)50 cmCorrect answer is option 'C'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Isosceles triangles were used to construct a bridge in which the base (unequal side) of an isosceles triangle is 4 cm and its perimeter is 20 cm. What is the semi perimeter of the Isosceles triangle?a)30 cmb)40 cmc)10 cmd)50 cmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Isosceles triangles were used to construct a bridge in which the base (unequal side) of an isosceles triangle is 4 cm and its perimeter is 20 cm. What is the semi perimeter of the Isosceles triangle?a)30 cmb)40 cmc)10 cmd)50 cmCorrect answer is option 'C'. Can you explain this answer?.
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