We can use triangle inequality to prove it. What this rule is, it's basically if u add up 2 sides of the triangle, the length must be longer than the third side, check all 3 sides, and if all sides matches with the rule, a triangle is possible.
I wrote the steps down, hopefully you understand them and the answer is on the lower right corner.
Answer: She answered %75 percent of the whole test correct.
Answer:
missing side = 4.7 mm
Step-by-step explanation:
using the Pythagorean theorem:
7² - 5.2² = x²
49 -27.04 = x²
x² = 21.96
x = 4.69
Answer:
Step-by-step explanation:
(1) 
First, let's expand the expression:


Next, let's factor the quadratic:

Finally, set the equation equal to
to find the solutions


(2) During the step
, when you take the square root of both sides, you have two equations, rather than one:
and
, so the solutions should be 
(3)

Add
to both sides

Multiply both sides by 

Take the square root of both sides
±
Subtract
from both sides
