Question

"The length of the shortcut is ____ m."

PLEASE HELP ASAP!!!!!!

Answer 1

Answer:

$40^{2} + 70^{2} =\sqrt{6500}$ OR 80.622577483 OR $10\sqrt{65}$

Step-by-step explanation:

It is a right triangle, so it can be solved with the Pythagorean Theorem.

Answer 2

Answer:

Step-by-step explanation:

Length of PR = 40 units

Length of RQ = 70 units

ΔPQR is a  right angle. So, to fin the length of PQ, use Pythagorean theorem

hypotenuse² = base² + altitude²

PQ² = PR² + RQ²

       = 40² + 70²

       = 1600 + 4900

       = 6500

PQ = √6500 = 80.62 units

PQ = 80.62 units