## Math Formulas to Know by Heart

Memorizing these mathematical formulas will help you as you advance further into math subjects.

### Triangle Formulas

Area=1/2(b*h)
Think of a triangle as half of a rectangle, so you need to take half of the base time height. The base of the triangle is the length of a side. If you have a right triangle, the height is the length of the side with the 90 degree angle. If non-right triangle, drop a line from the apex of the triangle to the base.
Isosceles triangles have two equal sides and two equal angles. If one of the angles is 90 degrees, the other two will be 45. The lengths of a right isosceles triangle are always

*x*,

*x*,

*x*√2. The find the hypotenuse, simply multiply √2 by one of the sides.
The side lengths of a right triangle with angles 30-60-90 can be found using the formula

*x*,

*x*√3,

* *and 2

*x*. The smallest side,

*x*, is opposite the smallest angle, 30. The longest side, 2

*x*, is opposite the largest angle, 90.

### Distance Formula

If you know your Pythagorean theorem

, this equation will be intuitive. To determine the distance between two points, you can make a right triangle from them. square each side and then take the square root of the sum to obtain the length of the hypotenuse.

### Logarithms

You should understand logarithms and how to rewrite them.

asks

*b* to what power (

*y*) will result in

*x*. You can rewrite it as:

.
When

*x* is a product of two different numbers, it may be easier to solve if you remember the following formula:

### Slope-Intercept Formula

In this formula,

*m* is the slope and

*b *is the y-intercept. If you get an equation that is not in this format, you will want to re-write it so that it is. It makes graphing a line much easier.

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**The Tutoring Center in Lake Forest**. We have

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