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Teachers & SchoolsSAT Math 2.3 Geometry and Measurement. Find the length of AB.

Basic Geometry | Pythagorean Theorem |

Coordinate Geometry | Distance Formula |

Geometry | Triangles |

Language | English Language |

Problem Solving and Data Analysis | Key features of graphs |

Product Type | SAT Math |

Right Triangles and Trigonometry | Pythagorean Theorem |

SAT Math | Geometry and Measurement |

Triangles | Right Triangles and Pythagorean Theorem |

Here are the potential answers...

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

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

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

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

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

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

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

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

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

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

And since we have our x value – “2”…

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

Answer B.