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A triangle ABC is right angle triangle at C, AB = 26 cm and BC = 24cm. Calculate AC.?
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A triangle ABC is right angle triangle at C, AB = 26 cm and BC = 24cm....
Given data:
- AB = 26 cm
- BC = 24 cm
Step 1: Identify the right angle triangle
In triangle ABC, angle C is a right angle since it is given that ABC is a right angle triangle at C.
Step 2: Applying Pythagoras Theorem
According to the Pythagorean theorem, 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.
Therefore, we can use the formula:
AC^2 + BC^2 = AB^2
Step 3: Substitute the given values
Substitute the values of AB and BC into the formula:
AC^2 + 24^2 = 26^2
AC^2 + 576 = 676
AC^2 = 676 - 576
AC^2 = 100
Step 4: Find the value of AC
Taking the square root of both sides:
AC = √100
AC = 10 cm
Therefore, the length of AC is 10 cm.
In conclusion, using the Pythagorean theorem, we found that the length of side AC in the right triangle ABC is 10 cm.
- AB = 26 cm
- BC = 24 cm
Step 1: Identify the right angle triangle
In triangle ABC, angle C is a right angle since it is given that ABC is a right angle triangle at C.
Step 2: Applying Pythagoras Theorem
According to the Pythagorean theorem, 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.
Therefore, we can use the formula:
AC^2 + BC^2 = AB^2
Step 3: Substitute the given values
Substitute the values of AB and BC into the formula:
AC^2 + 24^2 = 26^2
AC^2 + 576 = 676
AC^2 = 676 - 576
AC^2 = 100
Step 4: Find the value of AC
Taking the square root of both sides:
AC = √100
AC = 10 cm
Therefore, the length of AC is 10 cm.
In conclusion, using the Pythagorean theorem, we found that the length of side AC in the right triangle ABC is 10 cm.
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A triangle ABC is right angle triangle at C, AB = 26 cm and BC = 24cm. Calculate AC.?
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A triangle ABC is right angle triangle at C, AB = 26 cm and BC = 24cm. Calculate AC.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A triangle ABC is right angle triangle at C, AB = 26 cm and BC = 24cm. Calculate AC.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A triangle ABC is right angle triangle at C, AB = 26 cm and BC = 24cm. Calculate AC.?.
A triangle ABC is right angle triangle at C, AB = 26 cm and BC = 24cm. Calculate AC.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A triangle ABC is right angle triangle at C, AB = 26 cm and BC = 24cm. Calculate AC.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A triangle ABC is right angle triangle at C, AB = 26 cm and BC = 24cm. Calculate AC.?.
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