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  • 01-09-2020
  • Mathematics
contestada

find the area of a right angle triangle whose hypotenuse is 13 cm long and one of its legs is 12 cm long​

Respuesta :

phamthuylinh345183
phamthuylinh345183 phamthuylinh345183
  • 01-09-2020

Answer:

30 cm^2

Step-by-step explanation:

a = 13 cm

b = 12 cm

using Pythagorean theorem:

a^2 = b^2 + c^2

--> c^2 = a^2 - b^2 = 13^2 - 12^2 = 169 - 144 = 25

--> c = √25 = 5

The area of that right triangle is:

S = b.c / 2 = 12 . 5 / 2 = 30 (cm^2)

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