An isosceles triangle has sides A, B, and C, such that sides A and B have the same length. Side C has a length of #4 # and the triangle has an area of #42 #. What are the lengths of sides A and B?

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An isosceles triangle has sides A, B, and C, such that sides A and B have the same length. Side C has a length of #4 # and the triangle has an area of #42 #. What are the lengths of sides A and B?

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Answer 1 · 2016-08-01T11:45:21

Length of sides A & B are #21.1(1dp)# unit

Explanation:

Let Altitude (h) be drawn from junction of sides #A & B# on Side #C#. We know area of the triangle is #1/2*C*h=42 or 1/2*4*h=42:.h=21#The altitude meets side C at midpoint and perpendicular to C.#:.h^2+(C/2)^2=A^2 :.A^2=21^2+(4/2)^2=441+4=445 :.A=B=sqrt445=21.1(1dp)#unit

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An isosceles triangle has sides A, B, and C, such that sides A and B have the same length. Side C has a length of #4 # and the triangle has an area of #42 #. What are the lengths of sides A and B?

1 Answer

Explanation:

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