The ratio of the side lengths of an isosceles triangle is 4:4:7, and its perimeter is 52.5cm. What is the length of the base of the triangle?

Answer 1

#24 1/2 -> 24.5#

The given values of #4:4:7# are a ratio consisting of a total count of #4+4+7 = 15# parts

As this is an Isosceles triangle the base is 7. However the 7 parts is out of 15 parts. So as a fraction of the whole perimeter it is #7/15#

Thus the length of the base of the triangle is:

#7/15xx52 1/2#

#7/(cancel(15)^1)xx(cancel(105)^7)/2" "=" "49/2" "=" "24 1/2#

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Answer 2

Kennedy Adams

The ratio of the side lengths of the isosceles triangle implies that the two equal sides have the same length. Let's call this length ( 4x ) (since the ratio given is 4:4:7). The length of the base will be ( 7x ). The perimeter is the sum of all three sides, so ( 4x + 4x + 7x = 52.5 ). Solving for ( x ), we find ( x = 3.5 ). Therefore, the length of the base is ( 7 \times 3.5 = 24.5 ) cm.

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Answer 3

Hazel Anglin

The length of the base of the triangle is 21 cm.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.