The perimeter, of an isosceles triangle is 40cm. If three times the base is equal to four times the congruent sides, then find the length of each side of the triangle.
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Answer:
An isosceles triangle is a triangle which has any two of its sides equal to each other. Also, the angles opposite these equal sides are equal.
Step-by-step explanation:
Given that The sides of the triangle are in the ratio 2: 3: 4 which mean 2 + 3 + 4 = 9. The perimeter of the triangle = 27 cm. The solution is 2/9 x 27= 6 3/9 x 27= 6 4/9 x 27 = 12 The lengths of the sides are 6cm , 6cm and 12cm.
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Step-by-step explanation:
Let x= length of congruent sides and y = length of base.
Perimeter = 40 cm = 2x+y
= 2x+y3y= 4x or y =4/3 x
=4/3 x2x+ 4/3 x=10x/3= 40 x=12 cm
40 x=12 cmTwo congruent sides are 12 cm each and base = 16 cm.
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