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you have found 4 congruent right-angled scalene triangles. The legs of each of these triangles measures 4 and 5 inches respectively, with the hypotenuse measuring 6 inches. Reform these triangles to make a rhombus and calculate the area, the long diagonal, the short diagonal, and what formula you used.

 Dec 17, 2014

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 #1
avatar+23254 
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A right-angled scalene triangle cannot have legs that measure 4 inches and 5 inches if the hypotenuse measures 6 inches ...

Let side a = 4 and side b = 5 with side c = 6 (hypotenuse).

The Pythagorean Theorem demands that a² + b²  = c²

But ...............                                       4² + 5²  ≠ 6²                (16 + 25 = 41, not 36)

 Dec 17, 2014
 #1
avatar+23254 
+5
Best Answer

A right-angled scalene triangle cannot have legs that measure 4 inches and 5 inches if the hypotenuse measures 6 inches ...

Let side a = 4 and side b = 5 with side c = 6 (hypotenuse).

The Pythagorean Theorem demands that a² + b²  = c²

But ...............                                       4² + 5²  ≠ 6²                (16 + 25 = 41, not 36)

geno3141 Dec 17, 2014

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