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The ratio of two side lengths for the triangle is given. What is the value of “q” AB:BC is 3:4

The ratio of two side lengths for the triangle is given. What is the value of “q” AB-example-1
User Atum
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Answer:


q=8.5

Explanation:

The ratio of the side lengths (AB) and (BC) is given. One is also given an expression for the side lengths of each of these sides. Set up a proportion to describe this scenario, then solve using cross products;


(AB)/(BC)=(3)/(4)

Substitute,


(60)/(10q+15)=(3)/(4)

Cross products,


(60)/(10q+15)=(3)/(4)


(60)(4)=(10q+15)(3)\\\\240=30q+45

Inverse operations,


240=30q+45\\\\195=30q\\\\8.5=q

User TLadd
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