Arm and base

The isosceles triangle has a circumference of 46 cm. Calculate its area if the arm is 5 cm longer than the base.

Correct answer:

S =  95.4358 cm2

Step-by-step explanation:

o=46 cm r=5+a  o=2r+a    o=2⋅ (5+a)+a 46=2⋅ (5+a)+a  3a=36  a=12  r=5+a=5+12=17 cm  h=r2−(a/2)2=172−(12/2)2=253 cm≐15.906 cm  S=a⋅ h2=12⋅ 15.9062=6 253≐95.4358=95.4358 cm2   Verifying Solution:   o2=2⋅ r+a=2⋅ 17+12=46 cm

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