Find the length of unknown sides
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17 is the correct answer
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☁️|||_ANSWER_|||☁️
⇝The length of the unknown side is 17cm.
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☁️ ||||_STEP - BY - STEP EXPLANATION_||| ☁️
☁️ Given:-
- The height of the triangle = 15cm.
- The base of the triangle = 8cm.
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☁️ To Find:-
- The value of x (which is the hypotenuse of the triangle) in the given attachment.
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☁️ Solution:-
To find the value of x or the hypotenuse:-
Let AC be the hypotenuse of the triangle, AB as the height of the triangle and BC as the base of the triangle. Then,
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☁️ Formula Applied:-
⇝ AC² = (AB² + BC²) units.
☁️ After Substituting The Values:-
⇝ x² = (15² + 8²)cm
⇝ x² = (225 + 64)cm
⇝ x² = 289
⇝ x = √289 cm
⇝ x = 17cm
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∴ Hence, the length of the unknown side (the hypotenuse) is 17cm.
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