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If ABCD is an isosceles trapezium, what is the measure of ∠C?
- a)∠B
- b)∠A
- c)∠D
- d)90o
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If ABCD is an isosceles trapezium, what is the measure of∠C?a)&ang...
From definition, we know that in an isosceles trapezium the non-parallel sides are equal or AD = BC in the figure. Drop perpendiculars AE and BF to CD. Triangles AED and BFC are congruent by R.H.S congruency. Hence, ∠D = ∠C
Most Upvoted Answer
If ABCD is an isosceles trapezium, what is the measure of∠C?a)&ang...
Its diagonals?
Without additional information, we cannot determine the exact measure of the diagonals of an isosceles trapezium. However, we can make some general observations:
- An isosceles trapezium has two parallel sides (the bases) and two non-parallel sides (the legs).
- The diagonals of an isosceles trapezium are not congruent, but they are equal in length.
- If we denote the length of the bases as b1 and b2, and the length of the legs as a, then the length of each diagonal can be calculated using the Pythagorean theorem:
diagonal = √(a^2 + ((b2 - b1)/2)^2)
Note that the expression inside the square root represents the height of the trapezium (the perpendicular distance between the bases), which can also be calculated using the formula:
height = √(a^2 - ((b2 - b1)/2)^2)
Overall, the measure of the diagonals depends on the specific values of b1, b2, and a for a given isosceles trapezium.
Without additional information, we cannot determine the exact measure of the diagonals of an isosceles trapezium. However, we can make some general observations:
- An isosceles trapezium has two parallel sides (the bases) and two non-parallel sides (the legs).
- The diagonals of an isosceles trapezium are not congruent, but they are equal in length.
- If we denote the length of the bases as b1 and b2, and the length of the legs as a, then the length of each diagonal can be calculated using the Pythagorean theorem:
diagonal = √(a^2 + ((b2 - b1)/2)^2)
Note that the expression inside the square root represents the height of the trapezium (the perpendicular distance between the bases), which can also be calculated using the formula:
height = √(a^2 - ((b2 - b1)/2)^2)
Overall, the measure of the diagonals depends on the specific values of b1, b2, and a for a given isosceles trapezium.
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If ABCD is an isosceles trapezium, what is the measure of∠C?a)∠Bb)∠Ac)∠Dd)90oCorrect answer is option 'C'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about If ABCD is an isosceles trapezium, what is the measure of∠C?a)∠Bb)∠Ac)∠Dd)90oCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If ABCD is an isosceles trapezium, what is the measure of∠C?a)∠Bb)∠Ac)∠Dd)90oCorrect answer is option 'C'. Can you explain this answer?.
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