legs(sides other than hypotenuse) of a right triangle are lengths 16cm and 8cm. Find the length of the side of the largest square that can be inscribed in the triangle.
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The largest side that can be inscribed in the triangle is the hypotenuse.
Let us name the triangle ABC.
Since it is a right angle, we can use the Pythagoras theorem.
AB^2 + BC^2=AC^2
16^2 + 8^2 =AC^2
320=AC^2
AC = 17.8 (approx)
Let us name the triangle ABC.
Since it is a right angle, we can use the Pythagoras theorem.
AB^2 + BC^2=AC^2
16^2 + 8^2 =AC^2
320=AC^2
AC = 17.8 (approx)
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