Mathematics: One leg of a right triangle measures 8 units and the hypotenuse measures 12 units. The perimeter of the triangle is irrational. True False

One leg of a right triangle measures 8 units and

jimmymurray29

31.01.2022

TRUE

Step-by-step explanation:

Length of other leg $= \sqrt {12^2 - 8^2} \\= \sqrt {144 -64} \\= \sqrt {80} \\= 4\sqrt {5} \\$

Since, $\sqrt 5$ is an irrational number, hence Perimeter of triangle will also be irrational.

TRUE

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delaneymoses21

31.01.2022

True.

Step-by-step explanation:

The length of the other side = sqrt ( 12^2 - 8^2)

= sqrt (144 - 64)

= sqrt ( 80) which is irrational so the perimeter is also irrational.

(The sum of a rational number and an irrational is irrational).

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anaroles04

02.10.2022

if the perimeter of the square window is 60 inches, then each side must be 15 inches. (divide 60 by 4)

to find the area, multiply the length and width. both the length and the width are 15 inches. so the area is (15 in.) = 225 square inches.

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