SAT Math 2.3 Geometry and Measurement

SAT Math 2.3 Geometry and Measurement. Find the length of AB.

Basic GeometryPythagorean Theorem
Coordinate GeometryDistance Formula
GeometryTriangles
LanguageEnglish Language
Problem Solving and Data AnalysisKey features of graphs
Product TypeSAT Math
Right Triangles and TrigonometryPythagorean Theorem
SAT MathGeometry and Measurement
TrianglesRight Triangles and Pythagorean Theorem

Transcript

00:20

Here are the potential answers...

00:25

This problem is actually a lot simpler than it appears, and

00:27

really just involves knowing one simple rule about triangles...

00:35

What we do know is that the side length of each side is 4…

00:39

…and that these points are located exactly halfway across a couple of the sides.

00:43

Well, using advanced calculus we can determine that half of 4 is 2…

00:48

…so B has to be 2 away from each edge, and A has to be the same.

00:53

So if we go ahead and draw that imaginary line from B to A…

00:57

…we create an isosceles triangle, with each leg measuring “2.”

01:01

Now all we have to do is apply our knowledge of isosceles triangles…

01:05

…specifically, that the legs and hypotenuse always have a ratio of x to x to x square root of 2.

01:12

And since we have our x value – “2”…

01:14

…our hypotenuse, or line AB, must be 2 square root of 2.

01:18

Answer B.