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.

Final 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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You need to know the following knowledge to solve this word math problem:

algebraarithmeticplanimetricsbasic operations and conceptsUnits of physical quantitiesGrade of the word problem

 
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