A right triangle has legs of lengths 8 cm and 15 cm. If the triangle is scaled by a factor of 1.5, what is the area of the new triangle?

Sun, 03 May 2026 04:50:47 +0000

**A right triangle has legs of lengths 8 cm and 15 cm. If the triangle is scaled by a factor of 1.5, what is the area of the new triangle?** When exploring geometric shapes, a simple right triangle with legs measuring 8 centimeters and 15 centimeters often becomes the starting point for deeper curiosity—especially when questions arise about scaling and area. People are naturally drawn to this triangle because it represents a familiar, stable foundation in geometry, making it ideal for comparing growth, proportions, and related calculations. Right triangles with these dimensions frequently appear in hands-on projects, educational settings, and design applications, fueling interest in how changes like scaling impact measurements. Scaling a triangle means enlarging or reducing it proportionally. Scaling a right triangle by a factor of 1.5 multiplies every dimension—both legs—by that number. The original right triangle has legs of 8 cm and 15 cm, with an area calculated using the simple formula: half the product of the base and height. The original area is (8 × 15)/2 = 60 square centimeters. When scaled by 1.5, each leg becomes 12 cm and 22.5 cm. The new area is again half the product: (12 × 22.5)/2 = 135 square centimeters—a notable increase. What makes this scaling process relevant today is how it aligns with trends in architecture, interior design, and digital modeling, where geometric scaling supports visual clarity and proportional accuracy. Scaling impacts efficiency, cost, and compatibility in real-world applications, giving users a strong reason to understand these mathematical relationships.