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The length of hypotenuse of a right triangle is 13 cm. If one of the side of the triangle be 5 cm long ,find the length of the other side.?
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The length of hypotenuse of a right triangle is 13 cm. If one of the s...
Problem:
Find the length of the other side of a right triangle whose hypotenuse is 13 cm and one of the sides is 5 cm long.
Solution:
Let us use the Pythagorean theorem to solve the problem.
- Pythagorean theorem: In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
- Formula: c2 = a2 + b2, where c is the length of the hypotenuse and a and b are the lengths of the other two sides.
Substituting the given values in the formula, we get:
132 = 52 + b2
Simplifying the equation, we get:
169 = 25 + b2
Subtracting 25 from both sides, we get:
144 = b2
Taking square root on both sides, we get:
b = 12 cm
Answer:
The length of the other side of the right triangle is 12 cm.
Community Answer
The length of hypotenuse of a right triangle is 13 cm. If one of the s...
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The length of hypotenuse of a right triangle is 13 cm. If one of the side of the triangle be 5 cm long ,find the length of the other side.?
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The length of hypotenuse of a right triangle is 13 cm. If one of the side of the triangle be 5 cm long ,find the length of the other side.? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about The length of hypotenuse of a right triangle is 13 cm. If one of the side of the triangle be 5 cm long ,find the length of the other side.? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The length of hypotenuse of a right triangle is 13 cm. If one of the side of the triangle be 5 cm long ,find the length of the other side.?.
The length of hypotenuse of a right triangle is 13 cm. If one of the side of the triangle be 5 cm long ,find the length of the other side.? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about The length of hypotenuse of a right triangle is 13 cm. If one of the side of the triangle be 5 cm long ,find the length of the other side.? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The length of hypotenuse of a right triangle is 13 cm. If one of the side of the triangle be 5 cm long ,find the length of the other side.?.
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