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Master SAS Similarity Theorem: Prove Triangle Similarity

BC Grade 9 Math: Master Essential Skills & Concepts

Rational Numbers

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Comparing and ordering rational numbers

Comparing decimal numbers

Comparing fractions

Solving problems with rational numbers in decimal form

Mixed Operations with Decimals

Mixed Operations

Mixed Operations with Decimals Bracket

Mixed Operations with Bracket Square

Solving problems with rational numbers in fraction form

Operations with fractions

Determine square roots of rational numbers

Square roots of rational numbers

Power and Exponents

Using exponents to describe numbers

Expanded powers

Exponent rules

Single Power Expressions

Dividing powers

Multiplying powers

Order of operations with exponents

Using exponents to solve problems

Scale Factors and Similarity

Enlargements and reductions with scale factors

Scale diagrams

Similar triangles

Similar polygons

Polynomials

Characteristics of polynomials

What are polynomials

Equivalent expressions of polynomials

Adding and subtracting polynomials

Multiplication and Division of Polynomials

Multiplying and dividing polynomials

Divide a monomial by a monomial

Multiply a monomial by a monomial

Multiplying polynomials by monomials

Multiply a polynomial by a monomial

Dividing polynomials by monomials

Linear Relations

Representing patterns in linear relations

Represent Patterns in Linear Relations Equation Decimal

Represent Patterns in Linear Relations Equation Integer Start From 0

Represent Patterns in Linear Relations Equation Integer Start From 1

Represent Patterns in Linear Relations Equation Negative Decimal

Identify the Linear Equation

Reading linear relation graphs

Solving linear equations by graphing

Solving Linear Equations

Solving linear equations using multiplicattion and division

Solving linear equations using multiplication and division

Two-step Linear Equations LHS

Two-step Linear Equations RHS

Solving two-step Linear equations: ax+b = c, x/a +b = c

Solving two-step linear equations: ax + b = c, x/a + b = c

Solving linear equations using distributive property a(x+b)=c

Solving linear equations using distributive property: a(x + b) = c

Solving linear equations with variables on both sides

Solving literal equations

Data Collection

Influencing factors in Data Collection

Influencing factors in data collection

Probability

BC Grade 9 Math

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Intro

- Hi, welcome to this question right here. So, we have two similar triangles right here. That did tell us it's similar, right? So, don't worry about it. It is similar. We need to calculate the missing length. Turns out the missing length is right here, okay? 
So, what you do first is you have to set up like a proportional fraction. So, let's put an equal sign right here. And put up a fraction sign and a fraction sign. So, what you do is this, you know that these two are similar triangles, okay? So, the shorter side with the shorter side, there's a ratio that's involved between these two so, my own little preference is I'm gonna take the bigger number that goes first. So, I'm gonna put a two right here, for the bigger triangle. This side right here versus this side, which is 0.5, okay? 
Then, I'm gonna try to figure out my missing x right here. So, this missing x corresponds to the six over here, okay? 
Because the hypotenuse and the hypotenuse of the two triangles would go together. So, the six over here of my bigger triangle will match the x here for my little triangle. So once again, the bigger on the top, smaller on the bottom. Just because the math is easier. The six is over here, and the x is over here, okay? 
Now, maybe now you're not go with the algebra. But you can just think about this. They are the same ratio to each other. All you need to do is think about how to go from two to six. Well, mathematically, going from two to six, you just have to times it by three. And since you times by three to the top, you have to do the same thing to the bottom, right? 
So, 0.5 times by 3, you get yourself a 1.5 at the very end. So, x over here turns out just to be a 1.5 meters. And that is your final answer. Thanks for watching.

Learn how to determine similar triangles by using side-side-side (SSS) similarity, <a href='[[glossary.html|{"keyword":"SAS Similarity"}]]'>side-angle-side (SAS) similarity</a> and the properties of similar triangles to solve questions. It's always a good idea to refresh your memory on scale factors and proportions because we will be using them a lot in this lesson.

Identifying similar triangles

Ratios

Pythagorean theorem

Using the pythagorean relationship