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The hypotenuse of a right-angled triangle is 6 m more than twice its shortest side. If the third side is 2 m less than the hypotenuse, then find the hypotenuse.
Let the shortest side be x.
hypotenuse is 2x + 6, third side is 2x + 4
By the Pythagoras Theorem, (2x + 6)2 = x2 + (2x + 4)2 x2 − 8x − 20x = 10 or x = −2 … (side cannot be negative)
hypotenuse is 2x + 6
So, the hypotenuse is 26.
Altitude of an equilateral triangle is
Altitude of an equilateral triangle is .
Pythagoras theorem can be applied only in
Pythagoras theorem can be applied in all triangles with some construction.
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