Square Root Strategies for your ACT SAT Test

#shorts #maths #algebra #sat

Strategy on the no calculator portion of the SAT math test.

[jmaxim]

The most important fact you pointed out was that radical 80 is the hypotenuse.

[johnathanh]

So the first part of the clip was explaining that sqrt(80) was the hypotenuse, which is larger than these two:
2sqrt(2)
6sqrt(2)

Well as sqrt(80) is almost sqrt(81), which is 9; it should be obvious that it is the largest as sqrt(2) is approx 1.4.

Anyway 0.5 * b * h is

0.5 * 2 sqrt(2) * 6sqrt(2)
which is
{0.5 * 2 * 6} * { sqrt(2) * sqrt(2) }
which 12

[Nolo-HLM]

Quick question, how else would you determine what the hypotenuse based off of the given numbers? Lets say you used 6×sprt(2) and sqrt(80) first? Then if that didn't add up to make 2×sqrt(2) would you try something else or is there a shortcut to knowing by looking at them which one will be the hypotenuse?

[donotletthebeeswin]

Skipped the step where you determine which 2 of the 3 side lengths are the base and height.

[Hexagon]

Im glad i checked which one is the hypotenuse lol.

Answer: B

[lokeshpatel]

I used Heron’s formula but after watching video noticed it’s right triangle 😂

[MP-oxiz]

You made this way too difficult than it was