Isosceles triangle

The perimeter of an isosceles triangle is 112 cm. The length of the arm to the length of the base is at ratio 5:6. Find the triangle area.

Correct result:

S =  588 cm2

Solution:

o=112 cm a:b=6:5 o=a+2b 6a/5=b o=a+2 5a/6 a=o/(1+2 5/6)=112/(1+2 5/6)=42 cm b=5 a/6=5 42/6=35 cm o1=a+2 b=42+2 35=112 cm h=b2(a/2)2=352(42/2)2=28 cm S=a h/2=42 28/2=588 cm2

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