In a right angle triangle length of the hypotenuse is 5cm and length of one side is 4cm. What is the

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In a right angle triangle length of the hypotenuse is 5cm and length of one side is 4cm. What is the perimeter of the triangle?

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{"content":[{"content":[{"marks":[{"type":"bold"}],"text":"Step 1 (Find the Third Side):","type":"text"},{"text":" In a right-angled triangle, the hypotenuse is ","type":"text"},{"attrs":{"latex":"c = 5"},"type":"math_inline"},{"text":" cm, and one side is ","type":"text"},{"type":"math_inline","attrs":{"latex":"a = 4"}},{"type":"text","text":" cm. By the Pythagorean Theorem, the third side "},{"type":"math_inline","attrs":{"latex":"b"}},{"text":" is:","type":"text"}],"type":"paragraph"},{"type":"math_block","attrs":{"latex":"b = \sqrt{c^2 - a^2}"}},{"attrs":{"latex":"b = \sqrt{5^2 - 4^2} = \sqrt{25 - 16} = \sqrt{9} = 3 \text{ cm}"},"type":"math_block"},{"content":[{"text":"Step 2 (Calculate the Perimeter):","type":"text","marks":[{"type":"bold"}]},{"text":" The perimeter of a triangle is the sum of the lengths of all three sides:","type":"text"}],"type":"paragraph"},{"attrs":{"latex":"\text{Perimeter} = a + b + c"},"type":"math_block"},{"type":"math_block","attrs":{"latex":"\text{Perimeter} = 4 + 3 + 5 = 12 \text{ cm}"}},{"content":[{"marks":[{"type":"bold"}],"text":"Step 3 (Conclusion):","type":"text"},{"text":" The perimeter of the triangle is exactly ","type":"text"},{"marks":[{"type":"code"}],"text":"12","type":"text"},{"text":" cm.","type":"text"}],"type":"paragraph"}],"type":"doc"}

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