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Triangle XYZ is a right angle triangle at vertex Z, find the length of YZ is XZ : 12cm and XY : 13cm?
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Triangle XYZ is a right angle triangle at vertex Z, find the length of...
Given:
Triangle XYZ is a right angle triangle at vertex Z.
To find:
The length of YZ.
Given information:
- XZ : 12cm
- XY : 13cm
Using the Pythagorean Theorem:
The Pythagorean Theorem states that in a right angle 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.
In triangle XYZ,
- XZ is one of the sides, which is adjacent to the right angle at vertex Z.
- XY is the hypotenuse, which is the longest side of the triangle.
Using the Pythagorean Theorem, we can write the equation as:
XZ^2 + YZ^2 = XY^2
Substituting the given values:
XZ = 12cm
XY = 13cm
Using the Pythagorean Theorem equation, we can substitute the values:
12^2 + YZ^2 = 13^2
Solving for YZ:
Simplifying the equation:
144 + YZ^2 = 169
Subtracting 144 from both sides:
YZ^2 = 169 - 144
YZ^2 = 25
Taking the square root of both sides:
√(YZ^2) = √25
YZ = 5cm
Conclusion:
The length of YZ is 5cm.
Triangle XYZ is a right angle triangle at vertex Z.
To find:
The length of YZ.
Given information:
- XZ : 12cm
- XY : 13cm
Using the Pythagorean Theorem:
The Pythagorean Theorem states that in a right angle 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.
In triangle XYZ,
- XZ is one of the sides, which is adjacent to the right angle at vertex Z.
- XY is the hypotenuse, which is the longest side of the triangle.
Using the Pythagorean Theorem, we can write the equation as:
XZ^2 + YZ^2 = XY^2
Substituting the given values:
XZ = 12cm
XY = 13cm
Using the Pythagorean Theorem equation, we can substitute the values:
12^2 + YZ^2 = 13^2
Solving for YZ:
Simplifying the equation:
144 + YZ^2 = 169
Subtracting 144 from both sides:
YZ^2 = 169 - 144
YZ^2 = 25
Taking the square root of both sides:
√(YZ^2) = √25
YZ = 5cm
Conclusion:
The length of YZ is 5cm.
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Triangle XYZ is a right angle triangle at vertex Z, find the length of YZ is XZ : 12cm and XY : 13cm?
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Triangle XYZ is a right angle triangle at vertex Z, find the length of YZ is XZ : 12cm and XY : 13cm? 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 Triangle XYZ is a right angle triangle at vertex Z, find the length of YZ is XZ : 12cm and XY : 13cm? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Triangle XYZ is a right angle triangle at vertex Z, find the length of YZ is XZ : 12cm and XY : 13cm?.
Triangle XYZ is a right angle triangle at vertex Z, find the length of YZ is XZ : 12cm and XY : 13cm? 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 Triangle XYZ is a right angle triangle at vertex Z, find the length of YZ is XZ : 12cm and XY : 13cm? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Triangle XYZ is a right angle triangle at vertex Z, find the length of YZ is XZ : 12cm and XY : 13cm?.
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