Ram drew a line segment AB of length 12 cm and another line segment CB of length 5 cm, which is perpendicular to line segment AB. What is the length of third side AC if triangle ABC is constructed?

5 cm

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6 cm

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13 cm

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2 cm

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Solution

The correct option is C 13 cm
From the given information, we know that side CB is perpendicular to side AB. That means ABC is a right-angled triangle. So by using the Pythagorean theorem we have,

AB² + BC² = CA²

12² + 5² = 169

Therefore CA = 13 cm

Hence option C is the answer.

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Ram drew a line segment AB of length 12 cm and another line segment CB of length 5 cm, which is perpendicular to line segment AB. What is the length of third side AC if triangle ABC is constructed?

The correct option is C 13 cmFrom the given information, we know that side CB is perpendicular to side AB. That means ABC is a right-angled triangle. So by using the Pythagorean theorem we have, AB² + BC² = CA² 12² + 5² = 169 Therefore CA = 13 cm Hence option C is the answer.

The correct option is C 13 cm
From the given information, we know that side CB is perpendicular to side AB. That means ABC is a right-angled triangle. So by using the Pythagorean theorem we have,

AB² + BC² = CA²

12² + 5² = 169

Therefore CA = 13 cm

Hence option C is the answer.