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The longest side of an isosceles right triangle measures 16m. What is the perimeter ofthe triangle?

Sagot :

Answer:

In right triangle hypotenus(side facing angle 90)is the longest

Step-by-step explanation:

lets say hyp=side1 +side2 were(side1=side2 in isocseles..) and Let x bet the length of side 1

So by applying phythegoras theorem :

hyp^2=x^2+x^2

16^2 =2x^2

2x^2=256

x^2=128

[tex] \sqrt{x { }^{2} } = \sqrt{128} [/tex]

x=

[tex]8 \sqrt{2} [/tex]

Parameter=16+8

[tex]8 \sqrt{2 } + 8 \sqrt{2 } + 16[/tex]

[tex]16 \sqrt{2} + 16[/tex]