Which is best estimate for the length of the short leg a if the hypotenuses c is about 10 cm 15 points!! A)4 cm B)5 cm C)6 cm D)8 cm E)none of the above

Question

asked Feb 21, 2020 225k views

2 Answers

LunchMarble · Answer 1 · 2020-02-26T14:18:32+0000

Answer:

A)4

Explanation:

Assuming all edges are integral values

The most basic right angles triangle with integral edges is

(3,4,5)

as it obeys pythogores theorem

which is

$a^(2)+ b^(2) =c^(2) \\\text{where c is the hypotenuse}\\\text{and a and b are the other side}$

3^(2) +4^(2) =5^(2)

Now, double each edge,it will still remain a right angled triangle since it will still obey pythogores theorem

so the edges are (4,6,10)

⇒4 cm is the short leg of a integral right triangle with hypotenuse 10 cm