parkerb2003 parkerb2003
  • 16-05-2019
  • Mathematics
contestada

If the hypotenuse of a 45°-45°-90° triangle is 13, what is the length of one of the legs?

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absor201
absor201 absor201
  • 16-05-2019

Answer:

9.19

Step-by-step explanation:

Using Law of sines to find other two lengths:

a/sinA=b/sinB

let a be length of side unknown and b be hypotenuse then sinB=sin90 and sinA=sin45

a/sin45=13/sin90

a=13sin45

a=13(0.707)

  =9.19

As the given triangle is isosceles hence the length of other two legs will be same i.e 9.19 !

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