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8 February, 04:56

The two shorter sides of a right triangle have the same length. the area of the right triangle is 6.65 square meters. what is the length of the hypotenuse?

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  1. 8 February, 06:57
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    The area of a triangle is expressed as A = (1/2) bh, where b=base and h=height. In a right triangle with the two shorter sides being equal, we know that the base is equal to one side and the height is equal to other. Knowing this, we can calculate the value of b and h: 6.65 = (1/2) x^2 where x=b=h. Solving for x we get 3.647 with rounded up gives 3.65. We can now find the hypotenuse by using the expression a^2+b^2=c^2. Plugging in 3.65 for both a and b and solving for c gives us the length of the hypotenuse: c = 5.16 meters
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