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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.

User Ykok
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2 Answers

2 votes

Answer: 8.9

Explanation:

User HowsItStack
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7 votes

Answer:

Measure of the other side of a right triangle
=3\,\,cm

Explanation:

Given:

Length of one leg of a right triangle
=4\,\,cm

Length of the hypotenuse
=5\,,\cm

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

Solution:

Let
x 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.


5^2=4^2+x^2\\25=16+x^2\\x^2=25-16\\x^2=9\\x=3\,\,cm

So,

Measure of the other side of a right triangle
=3\,\,cm

User Mathias Bader
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3.1k points