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Two sides of an isosceles triangle are 10 inches and \(28\) inches.  What is the area of the triangle?

 Apr 23, 2022
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By the triangle inequality,  the  equal sides must be 28  and the base =  10

 

[ If the sides were 10, their sum would be less than  28  ]

 

The height  =      sqrt (28^2  - ( base length / 2 )^2  ]   =  sqrt  [ 784 - (5)^2 ]   = sqrt [ 784 - 25 ] =

 

sqrt [ 759  ] 

 

The area =     (1/2)(10) sqrt [ 759 ]  =   5 sqrt [ 759 ]   ≈   137.75 units^2     

 

 

cool cool cool

 Apr 23, 2022

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