An Isosceles triangle has single measures 55,55,and 70. The side across from the 70 angle is 10 inches long. How long are the other sides?

Question

An Isosceles triangle has single measures 55,55,and 70. The side across from the 70 angle is 10 inches long. How long are the other sides?

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Abigail 2 weeks 2021-11-22T03:26:45+00:00 1 Answer 0

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    2021-11-22T03:28:14+00:00

    Answer:

    8.717 both the sides

    Step-by-step explanation:

    Given:

    Let ABC be the given triangle with

    angle A= 55

    angle B=55

    angle C= 70

    side across angle C, c= 10 inches

    side across angle B, b =?

    aide across angle A,a=?

    Now using the law of sin to find a and b:

                    a/sinA=c/sinC

                    a= (c/sinC)(sinA)

    Putting the values:

                    a= (10/sin70)(sin55)

                    a= 8.717

    As the given triangle is isosceles so side a=b

    hence a=b= 8.717 inches !

                   

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