Question

Which is best estimate for the length of the short leg a if the hypotenuses c is about 10 cm 15 points!!

Answer 1

Answer:

A)4

Step-by-step 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