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If Two Sides of a Triangle Are Unequal, Then the Angle Opposite to the Greater Side Is Greater Than Angle Opposite to the Smaller Side

Can 5cm, 7...

Question

Can $5$ cm, $7$ cm and $5$ cm be the sides of a triangle?

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Solution

Let us check whether the sum of any two sides is greater than the third side or not:
$5 + 7 = 12 > 5$ cm
$7 + 5 = 12 > 5$ cm
$5 + 5 = 10 > 7$ cm
$∴$ these measurements can be the sides of triangle.

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