The hypotenuse of a 45°-45°-90° triangle measures 4 cm. What is the length of one leg of the triangle?
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√8 is the answer .i think so
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It is an isosceles right angled triangle.
Let x be one equal side.
Hypotenuse=√(x^2+x^2)= x√2 [according to Pythagoras theorem]
Or 4=x√2
Or x=4/√2=2√2
Ans. One leg of the triangle measures 2√2 cm.
Let x be one equal side.
Hypotenuse=√(x^2+x^2)= x√2 [according to Pythagoras theorem]
Or 4=x√2
Or x=4/√2=2√2
Ans. One leg of the triangle measures 2√2 cm.
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