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neonofarm [45]
3 years ago
11

If the length of one leg of a right triangle is 16 and the length of the hypotenuse is 2 more than the length of the other leg,

what are the lengths of all the sides of the triangle?
Mathematics
1 answer:
Arturiano [62]3 years ago
6 0
Let the length of one leg be x then another leg is (x+2)

According to Pythagoras theorem,
x^2 + (x+2)^2=16^2
=> x^2 + 2x - 126 =0
=>x= √(126 - 1) = 10.225
By sreedharchaya's formula
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Step-by-step explanation:

1. making the equation:

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2. graph it (I'm using desmos)

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Answer:

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In triangle ADE and triangle ABC

From the figure:

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\angle DAE = \angle BAC  [Angle]

AA(Angle-Angle) similarity criterion states that in two triangles if two pairs of corresponding angles are equal, then these triangle Similar.

By AA similarity:

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