Answered

One of the legs of a right triangle measures 4 cm and it's hypotenuse measures 5 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answer :

Answer:

Measure of the other side of a right triangle [tex]=3\,\,cm[/tex]

Step-by-step explanation:

Given:

Length of one leg of a right triangle [tex]=4\,\,cm[/tex]

Length of the hypotenuse [tex]=5\,,\cm[/tex]

To find: measure of the other side of a right triangle

Solution:

Let [tex]x[/tex] denotes the measure of the other side of a right triangle.

According to Pythagoras theorem,

square of hypotenuse is equal to sum of squares of other two sides.

[tex]5^2=4^2+x^2\\25=16+x^2\\x^2=25-16\\x^2=9\\x=3\,\,cm[/tex]

So,

Measure of the other side of a right triangle [tex]=3\,\,cm[/tex]

Answer: 8.9

Step-by-step explanation:

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