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Triangle ABC is such that AB = 9 cm, BC = 6 cm, AC = 7.5 cm. Triangle ΔDEF is similar to ABC, If EF
= 12 cm then DE is :
- a)6 cm
- b)16 cm
- c)18 cm
- d)15 cm
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Triangle ABC is such that AB = 9 cm, BC = 6 cm, AC = 7.5 cm. Triangle ...
Given that ABC is similar to DEF.
therefore, AB/BC=DE/EF = 9/6 = DE/12
= 12×9/6=DE
DE=18.
therefore, AB/BC=DE/EF = 9/6 = DE/12
= 12×9/6=DE
DE=18.
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Triangle ABC is such that AB = 9 cm, BC = 6 cm, AC = 7.5 cm. Triangle ...
To determine the largest angle, we can use the Law of Cosines. The formula for the Law of Cosines is:
c^2 = a^2 + b^2 - 2abcos(C)
Where c is the side opposite angle C.
Let's calculate the value of cos(C) using the given sides:
7.5^2 = 9^2 + 6^2 - 2(9)(6)cos(C)
56.25 = 81 + 36 - 108cos(C)
56.25 = 117 - 108cos(C)
108cos(C) = 117 - 56.25
108cos(C) = 60.75
cos(C) = 60.75/108
cos(C) = 0.5625
To find the largest angle, we need to find the inverse cosine (cos^-1) of 0.5625:
C = cos^-1(0.5625)
C ≈ 55.96 degrees
Therefore, the largest angle in triangle ABC is approximately 55.96 degrees.
c^2 = a^2 + b^2 - 2abcos(C)
Where c is the side opposite angle C.
Let's calculate the value of cos(C) using the given sides:
7.5^2 = 9^2 + 6^2 - 2(9)(6)cos(C)
56.25 = 81 + 36 - 108cos(C)
56.25 = 117 - 108cos(C)
108cos(C) = 117 - 56.25
108cos(C) = 60.75
cos(C) = 60.75/108
cos(C) = 0.5625
To find the largest angle, we need to find the inverse cosine (cos^-1) of 0.5625:
C = cos^-1(0.5625)
C ≈ 55.96 degrees
Therefore, the largest angle in triangle ABC is approximately 55.96 degrees.
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Triangle ABC is such that AB = 9 cm, BC = 6 cm, AC = 7.5 cm. Triangle ΔDEF is similar to ABC, If EF= 12 cm then DE is :a)6 cmb)16 cmc)18 cmd)15 cmCorrect answer is option 'C'. Can you explain this answer?
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Triangle ABC is such that AB = 9 cm, BC = 6 cm, AC = 7.5 cm. Triangle ΔDEF is similar to ABC, If EF= 12 cm then DE is :a)6 cmb)16 cmc)18 cmd)15 cmCorrect answer is option 'C'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Triangle ABC is such that AB = 9 cm, BC = 6 cm, AC = 7.5 cm. Triangle ΔDEF is similar to ABC, If EF= 12 cm then DE is :a)6 cmb)16 cmc)18 cmd)15 cmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Triangle ABC is such that AB = 9 cm, BC = 6 cm, AC = 7.5 cm. Triangle ΔDEF is similar to ABC, If EF= 12 cm then DE is :a)6 cmb)16 cmc)18 cmd)15 cmCorrect answer is option 'C'. Can you explain this answer?.
Triangle ABC is such that AB = 9 cm, BC = 6 cm, AC = 7.5 cm. Triangle ΔDEF is similar to ABC, If EF= 12 cm then DE is :a)6 cmb)16 cmc)18 cmd)15 cmCorrect answer is option 'C'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Triangle ABC is such that AB = 9 cm, BC = 6 cm, AC = 7.5 cm. Triangle ΔDEF is similar to ABC, If EF= 12 cm then DE is :a)6 cmb)16 cmc)18 cmd)15 cmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Triangle ABC is such that AB = 9 cm, BC = 6 cm, AC = 7.5 cm. Triangle ΔDEF is similar to ABC, If EF= 12 cm then DE is :a)6 cmb)16 cmc)18 cmd)15 cmCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Triangle ABC is such that AB = 9 cm, BC = 6 cm, AC = 7.5 cm. Triangle ΔDEF is similar to ABC, If EF= 12 cm then DE is :a)6 cmb)16 cmc)18 cmd)15 cmCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
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