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1 year ago

Help meeeeeeeeeeeeeeeeeeee pleaseee rnnnn rn!!!!

Mathematics

1 answer:

Snowcat [4.5K]1 year ago

4 0

The length of the shorter leg is 2.5 feet and the length of the longer leg is 6.5 feet

<h3>How to determine lengths of the legs?</h3>

From the question, we have the following parameters that can be used in our computation:

Length of the hypotenuse = 7 feet

One leg of the triangle = 4 feet longer than the other

Represent the legs with x and y

So, we have the following representation

x = 4 + y

h = 7

By the Pythagoras theorem, we have

h^2 = x^2 + y^2

Substitute the given values in h^2 = x^2 + y^2

So, we have the following equation

(4+ y)^2 + y^2 = 7^2

This gives

16 + 8y + y^2 + y^2 = 49

So, we have

2y^2 + 8y - 33 = 0

Using a graphing tool, we have

y = 2.5

Substitute y = 2.5 in x = y + 4

x = 2.5 + 4

Evaluate

x = 6.5

Hence, the triangle have its legs to have lengths of 2.5 feet and 6.5 feet

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