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Learn to solve a challenging geometry problem involving finding the base and height of a triangle when given that the area equals 30 cm² and the base is twice the height. Master the triangle area formula and discover how to translate word relationships into algebraic equations using substitution methods. Work through the step-by-step process of setting up the equation A = ½bh, substituting the relationship b = 2h, and solving the resulting quadratic equation to find h = √30 cm and b = 2√30 cm. Develop skills in algebraic manipulation, equation solving, and answer verification while exploring practical applications of geometry formulas. Perfect your understanding of how geometric constraints translate into mathematical relationships and gain confidence in tackling similar triangle problems involving area, base, and height calculations.
