jbasscollins jbasscollins

04-02-2020
Mathematics

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If a 45 degree 45 degree 90 degree triangle has a hypotenuse length of 12 find the leg length

If a 45 degree 45 degree 90 degree triangle has a hypotenuse length of 12 find the leg length class=

Respuesta :

profarouk profarouk

04-02-2020

Answer:

Leg length = 8.5

Step-by-step explanation:

let x represent the leg length

if we use the Pythagorean theorem we get:

x² + x² = 12²

then

2x² = 12²

Then

x² = 144/2 = 72

then

x = √(72)

=8,485281374239

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