Isosceles triangle

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

Correct answer:

S =  588 cm2

Step-by-step explanation:

o=112 cm a:b = 6:5 o=a+2b  5a=6b 5a/6 = 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=2a h=242 28=588=588 cm2   Verifying Solution:  r=a:b=42:35=56=1.2=6:5

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We encourage you to watch this tutorial video on this math problem: video1

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