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If the legs of an isosceles right triangle are 5 cm long, approximate the length of the hypotenuse to the nearest whole number.
- a)9 cm
- b)7 cm
- c)70 cm
- d)90 cm
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If the legs of an isosceles right triangle are 5 cm long, approximate ...
Isosceles means both legs have the same length, 5 in.
Pythagorean theorem:
5^2+ 5^2= h^2
25 + 25 = h^2
50 = h^2
√(50) = h
7.07 = h
round to whole number; h = 7
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If the legs of an isosceles right triangle are 5 cm long, approximate ...
Given:
- Legs of an Isosceles right triangle = 5 cm each
To find:
- Approximate length of the hypotenuse to the nearest whole number
Solution:
- An isosceles right triangle is a special type of right triangle where two sides are equal in length.
- In an isosceles right triangle, the length of the hypotenuse can be calculated using the Pythagorean theorem.
- Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
- Mathematically, it can be represented as:
- c^2 = a^2 + b^2
where c is the hypotenuse and a, b are the other two sides
- In our case, since the two legs of the isosceles right triangle are equal in length, we can represent them as:
- a = b = 5 cm
- Substituting the values in the formula, we get:
- c^2 = 5^2 + 5^2
- c^2 = 50
- c = sqrt(50) ≈ 7.07 cm
- Since we need to approximate the length of the hypotenuse to the nearest whole number, we round off the value of c to the nearest whole number, which is 7 cm.
- Therefore, the correct answer is option 'B' (7 cm).
Note:
- It is always advisable to draw a diagram of the given problem to visualize the triangle and understand the problem better.
- It is important to understand the Pythagorean theorem and its application in solving problems related to right triangles.
- Legs of an Isosceles right triangle = 5 cm each
To find:
- Approximate length of the hypotenuse to the nearest whole number
Solution:
- An isosceles right triangle is a special type of right triangle where two sides are equal in length.
- In an isosceles right triangle, the length of the hypotenuse can be calculated using the Pythagorean theorem.
- Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
- Mathematically, it can be represented as:
- c^2 = a^2 + b^2
where c is the hypotenuse and a, b are the other two sides
- In our case, since the two legs of the isosceles right triangle are equal in length, we can represent them as:
- a = b = 5 cm
- Substituting the values in the formula, we get:
- c^2 = 5^2 + 5^2
- c^2 = 50
- c = sqrt(50) ≈ 7.07 cm
- Since we need to approximate the length of the hypotenuse to the nearest whole number, we round off the value of c to the nearest whole number, which is 7 cm.
- Therefore, the correct answer is option 'B' (7 cm).
Note:
- It is always advisable to draw a diagram of the given problem to visualize the triangle and understand the problem better.
- It is important to understand the Pythagorean theorem and its application in solving problems related to right triangles.
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If the legs of an isosceles right triangle are 5 cm long, approximate the length of the hypotenuse to the nearest whole number.a)9 cmb)7 cmc)70 cmd)90 cmCorrect answer is option 'B'. 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 If the legs of an isosceles right triangle are 5 cm long, approximate the length of the hypotenuse to the nearest whole number.a)9 cmb)7 cmc)70 cmd)90 cmCorrect answer is option 'B'. 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 If the legs of an isosceles right triangle are 5 cm long, approximate the length of the hypotenuse to the nearest whole number.a)9 cmb)7 cmc)70 cmd)90 cmCorrect answer is option 'B'. Can you explain this answer?.
If the legs of an isosceles right triangle are 5 cm long, approximate the length of the hypotenuse to the nearest whole number.a)9 cmb)7 cmc)70 cmd)90 cmCorrect answer is option 'B'. 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 If the legs of an isosceles right triangle are 5 cm long, approximate the length of the hypotenuse to the nearest whole number.a)9 cmb)7 cmc)70 cmd)90 cmCorrect answer is option 'B'. 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 If the legs of an isosceles right triangle are 5 cm long, approximate the length of the hypotenuse to the nearest whole number.a)9 cmb)7 cmc)70 cmd)90 cmCorrect answer is option 'B'. Can you explain this answer?.
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