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In a right angle triangle ABC, right angled at B, AB = 6cm, BC = 8cm ,then AC = ____ .
- a)10
- b)12
- c)21
- d)14
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
In a right angle triangle ABC, right angled at B, AB = 6cm, BC = 8cm ,...
We have (AB)2+(BC)2 =( AC)2 which is (AC)2 = 36+64 . Hence AC = 10cm.
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In a right angle triangle ABC, right angled at B, AB = 6cm, BC = 8cm ,...
Given information:
- In a right-angled triangle ABC, angle B is right-angled.
- AB = 6 cm, BC = 8 cm.
To find: AC.
We can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states that in a right-angled 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.
Applying the Pythagorean theorem, we have:
AC^2 = AB^2 + BC^2
Substituting the given values, we get:
AC^2 = 6^2 + 8^2
AC^2 = 36 + 64
AC^2 = 100
Taking the square root of both sides, we get:
AC = √100
AC = 10
Hence, the length of side AC is 10 cm.
Answer: a) 10 cm.
- In a right-angled triangle ABC, angle B is right-angled.
- AB = 6 cm, BC = 8 cm.
To find: AC.
We can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states that in a right-angled 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.
Applying the Pythagorean theorem, we have:
AC^2 = AB^2 + BC^2
Substituting the given values, we get:
AC^2 = 6^2 + 8^2
AC^2 = 36 + 64
AC^2 = 100
Taking the square root of both sides, we get:
AC = √100
AC = 10
Hence, the length of side AC is 10 cm.
Answer: a) 10 cm.
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In a right angle triangle ABC, right angled at B, AB = 6cm, BC = 8cm ,...
10 cm.
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In a right angle triangle ABC, right angled at B, AB = 6cm, BC = 8cm ,then AC = ____ .a)10b)12c)21d)14Correct answer is option 'A'. Can you explain this answer?
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