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What does L and A stand for in the LA theorem?

The L stands for Lateral and the A stands for Area. Put together, it's Lateral Area!


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A right triangle has a hypotenuse of 10 cm and one leg that measures five sq root of three What is the length of the other leg?

Using Pythagoras Theorem, 102 = (5√3)2 + L2 ( L is the length of the other leg of the triangle) 100 = 75 + L2 : L2 = 100 - 75 = 25 Then L = √25 = 5. The other leg measures 5 cm


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If a 45-45-90 triangle has the hypotenuse of 14 units What is the length of one of its legs?

The legs of a triangle with the angles specified are of equal length. Therefore, calling the unknown leg length l and applying the Pythagorean theorem, l2 + l2 = 142 = 196, or l2 = 196/2 = 98, or l = sq rt (98) = about 9.90 units, to two significant digits.If the hypotenuse is 14 each leg length is determined from Pythagorean theorem where square root of the sum of legs squared is 14 squared.if leg length is L, then2L squared = 14 squaredL = 14/square root(2) = 14/1.414 = 9.90 inches


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