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

Question

3 years ago

7

True False

2 answers:

Tpy6a [65] · Answer 1 · 2022-03-12T09:53:03+03:00

Tpy6a [65]3 years ago

4 0

Answer:

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

Shtirlitz [24] · Answer 2 · 2022-03-12T11:39:50+03:00

3 0

Answer:

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).