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The areas of two similar triangles are 100cm2 and 49 cm2. If the altitude of the larger triangle is 5 cm, then the corresponding altitude of the other triangle is equal to
- a)3.5 cm.
- b)3.9 cm.
- c)5.4 cm.
- d)4.5 cm.
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The areas of two similar triangles are100cm2and 49 cm2. If the altitud...
Let the two similar triangles be ΔABC and ΔDEF such that ar(ΔABC) = 100 cm2 and ar(ΔDEF) = 49 cm2.
Let AM and DN be the respective altitudes of ΔABC and ΔDEF.
Since the ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding altitudes
Let AM and DN be the respective altitudes of ΔABC and ΔDEF.
Since the ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding altitudes
Most Upvoted Answer
The areas of two similar triangles are100cm2and 49 cm2. If the altitud...
Given data:
Area of larger triangle = 100 cm²
Area of smaller triangle = 49 cm²
Altitude of larger triangle = 5 cm
Understanding the concept:
The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding altitudes.
Solution:
Let the altitude of the smaller triangle be x cm.
According to the given data,
(Altitude of larger triangle) / (Altitude of smaller triangle) = √(Area of larger triangle / Area of smaller triangle)
5 / x = √(100 / 49)
5 / x = √(100 / 49)
5 / x = √(100 / 49)
5 / x = √(100 / 49)
5 / x = 10 / 7
x = 5 * 7 / 10
x = 3.5
Therefore, the corresponding altitude of the smaller triangle is 3.5 cm, which is option A.
Area of larger triangle = 100 cm²
Area of smaller triangle = 49 cm²
Altitude of larger triangle = 5 cm
Understanding the concept:
The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding altitudes.
Solution:
Let the altitude of the smaller triangle be x cm.
According to the given data,
(Altitude of larger triangle) / (Altitude of smaller triangle) = √(Area of larger triangle / Area of smaller triangle)
5 / x = √(100 / 49)
5 / x = √(100 / 49)
5 / x = √(100 / 49)
5 / x = √(100 / 49)
5 / x = 10 / 7
x = 5 * 7 / 10
x = 3.5
Therefore, the corresponding altitude of the smaller triangle is 3.5 cm, which is option A.
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Community Answer
The areas of two similar triangles are100cm2and 49 cm2. If the altitud...
Let the two similar triangles be ΔABC and ΔDEF such that ar(ΔABC) = 100 cm2 and ar(ΔDEF) = 49 cm2.
Let AM and DN be the respective altitudes of ΔABC and ΔDEF.
Since the ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding altitudes
Let AM and DN be the respective altitudes of ΔABC and ΔDEF.
Since the ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding altitudes
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The areas of two similar triangles are100cm2and 49 cm2. If the altitude of the larger triangle is 5 cm, then the corresponding altitude of the other triangle is equal toa)3.5 cm.b)3.9 cm.c)5.4 cm.d)4.5 cm.Correct answer is option 'A'. Can you explain this answer?
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The areas of two similar triangles are100cm2and 49 cm2. If the altitude of the larger triangle is 5 cm, then the corresponding altitude of the other triangle is equal toa)3.5 cm.b)3.9 cm.c)5.4 cm.d)4.5 cm.Correct answer is option 'A'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The areas of two similar triangles are100cm2and 49 cm2. If the altitude of the larger triangle is 5 cm, then the corresponding altitude of the other triangle is equal toa)3.5 cm.b)3.9 cm.c)5.4 cm.d)4.5 cm.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The areas of two similar triangles are100cm2and 49 cm2. If the altitude of the larger triangle is 5 cm, then the corresponding altitude of the other triangle is equal toa)3.5 cm.b)3.9 cm.c)5.4 cm.d)4.5 cm.Correct answer is option 'A'. Can you explain this answer?.
The areas of two similar triangles are100cm2and 49 cm2. If the altitude of the larger triangle is 5 cm, then the corresponding altitude of the other triangle is equal toa)3.5 cm.b)3.9 cm.c)5.4 cm.d)4.5 cm.Correct answer is option 'A'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The areas of two similar triangles are100cm2and 49 cm2. If the altitude of the larger triangle is 5 cm, then the corresponding altitude of the other triangle is equal toa)3.5 cm.b)3.9 cm.c)5.4 cm.d)4.5 cm.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The areas of two similar triangles are100cm2and 49 cm2. If the altitude of the larger triangle is 5 cm, then the corresponding altitude of the other triangle is equal toa)3.5 cm.b)3.9 cm.c)5.4 cm.d)4.5 cm.Correct answer is option 'A'. Can you explain this answer?.
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The areas of two similar triangles are100cm2and 49 cm2. If the altitude of the larger triangle is 5 cm, then the corresponding altitude of the other triangle is equal toa)3.5 cm.b)3.9 cm.c)5.4 cm.d)4.5 cm.Correct answer is option 'A'. Can you explain this answer?, a detailed solution for The areas of two similar triangles are100cm2and 49 cm2. If the altitude of the larger triangle is 5 cm, then the corresponding altitude of the other triangle is equal toa)3.5 cm.b)3.9 cm.c)5.4 cm.d)4.5 cm.Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of The areas of two similar triangles are100cm2and 49 cm2. If the altitude of the larger triangle is 5 cm, then the corresponding altitude of the other triangle is equal toa)3.5 cm.b)3.9 cm.c)5.4 cm.d)4.5 cm.Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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