High School

The area of the triangle below is \(\frac{12}{25}\) square inches. What is the length of the base?

Express your answer as a fraction in simplest form. The height is \(\frac{4}{5}\).

Answer :

The length of the base is 6/5 inches.

What is a fraction?

A fraction represents a part of a number or any number of equal parts.

A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.

We are given that;

Area of triangle= 12/25

Height= 4/5

Now,

We can plug them into the formula and get:

2512​=21​b(54​)

Multiplying both sides by 2 and dividing by 4/5, we get:

b=54​2512​×2​=54​2524

​​=24/25​×5/4​=6/5​

Therefore, by the given fraction the answer will be 6/5 inches.

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Answer:

Step-by-step explanation:

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