a right triangle
*assuming that the question should read '8 years less than 3 times danielle's age'*
equation: 3a - 8 = 34, where 'a' = danielle's age
danielle's age (a) = 14
using key words and phrases from the problem, we can find danielle's age by setting up an equation to solve for 'a'.
since danielle's aunt is '8 years less than 3 times danielle's age' her aunt's age can be written as: 3a - 8. we also know her aunt is 34. so, the equation becomes:
3a - 8 = 34
add 8 to both sides: 3a - 8 + 8 = 34 + 8 or 3a = 42
divide both sides by 3: 3a/3 = 42/3
solve for a: a = 14, so danielle's age is 14 years old.