Question

"The length of the shortcut is ____ m."

PLEASE HELP ASAP!!!!!!

Answer 1

`40^(2) + 70^(2) =√(6500)` OR 80.622577483 OR
`10√(65)`

Explanation:

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

Answer 2

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