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An isosceles right triangle has area 8 cm2. The length of its hypotenuse is :
- a)√16 cm
- b)√48 cm
- c)√32 cm
- d)√24 cm
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
An isosceles right triangle has area 8 cm2. The length of its hypotenu...
Let's denote the legs of the isosceles right triangle as aaa (both legs are equal) and the hypotenuse as c.
Most Upvoted Answer
An isosceles right triangle has area 8 cm2. The length of its hypotenu...
Given : isosceles right angle triangle
therefore base = height
area of triangle = 8 cm ^2
to find : Hypotenuse
procedure : consider base=height=X
area of right triangle = 1/2×base× height = 8
= 1/2×X×X =8
= X^2/2 = 8
= X^2=16
=X=4
Hypotenuse^2=base^2+height ^2
H^2=4^2+4^2
H^2=16+16
H^2=32
therefore. H = 32^1/2
therefore base = height
area of triangle = 8 cm ^2
to find : Hypotenuse
procedure : consider base=height=X
area of right triangle = 1/2×base× height = 8
= 1/2×X×X =8
= X^2/2 = 8
= X^2=16
=X=4
Hypotenuse^2=base^2+height ^2
H^2=4^2+4^2
H^2=16+16
H^2=32
therefore. H = 32^1/2
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An isosceles right triangle has area 8 cm2. The length of its hypotenu...
4 cm
b) 8 cm
c) 16 cm
d) 32 cm
Let's call the length of the two equal sides of the isosceles right triangle "x". Since it is a right triangle, we can use the Pythagorean theorem to find the length of the hypotenuse:
x^2 + x^2 = c^2
2x^2 = c^2
Taking the square root of both sides:
sqrt(2x^2) = sqrt(c^2)
sqrt(2) * x = c
The area of the triangle is given by:
(1/2) * x * x = 8
x^2 = 16
Taking the square root of both sides:
x = 4
Therefore, the length of the hypotenuse is:
sqrt(2) * 4 = 4 * sqrt(2) cm
So, the correct answer is option c) 16 cm.
b) 8 cm
c) 16 cm
d) 32 cm
Let's call the length of the two equal sides of the isosceles right triangle "x". Since it is a right triangle, we can use the Pythagorean theorem to find the length of the hypotenuse:
x^2 + x^2 = c^2
2x^2 = c^2
Taking the square root of both sides:
sqrt(2x^2) = sqrt(c^2)
sqrt(2) * x = c
The area of the triangle is given by:
(1/2) * x * x = 8
x^2 = 16
Taking the square root of both sides:
x = 4
Therefore, the length of the hypotenuse is:
sqrt(2) * 4 = 4 * sqrt(2) cm
So, the correct answer is option c) 16 cm.
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An isosceles right triangle has area 8 cm2. The length of its hypotenuse is :a)√16 cmb)√48 cmc)√32 cmd)√24 cmCorrect answer is option 'C'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about An isosceles right triangle has area 8 cm2. The length of its hypotenuse is :a)√16 cmb)√48 cmc)√32 cmd)√24 cmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An isosceles right triangle has area 8 cm2. The length of its hypotenuse is :a)√16 cmb)√48 cmc)√32 cmd)√24 cmCorrect answer is option 'C'. Can you explain this answer?.
An isosceles right triangle has area 8 cm2. The length of its hypotenuse is :a)√16 cmb)√48 cmc)√32 cmd)√24 cmCorrect answer is option 'C'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about An isosceles right triangle has area 8 cm2. The length of its hypotenuse is :a)√16 cmb)√48 cmc)√32 cmd)√24 cmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An isosceles right triangle has area 8 cm2. The length of its hypotenuse is :a)√16 cmb)√48 cmc)√32 cmd)√24 cmCorrect answer is option 'C'. Can you explain this answer?.
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