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

User Byron Wall
by
8.3k points

2 Answers

2 votes

Answer:

True.

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).

User Jaytea
by
8.1k points
4 votes

Answer:

TRUE

Explanation:

Length of other leg
= \sqrt {12^2 - 8^2} \\</p><p>= \sqrt {144 -64} \\</p><p>= \sqrt {80} \\</p><p>= 4\sqrt {5} \\

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

TRUE

User Pooja Kamath
by
7.8k points

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