A triangle has vertices (2, 5), (8, 3), and (2, 1). Classify the triangle by its angles and its sides. right isosceles acute equilateral right equilateral acute isosceles

acute isosceles

Step-by-step explanation:

Let A(2,5),B(8,3),C(2,1)

By distance formula,AB=BC=40^0.5

Hence, it is an isosceles triangle

Since AC=3, by cosine formula, AC=√(AB^2)+(BC^2)-2(AB)(BC)cosABC

angle ABC=36.8698765

Hence,it is an acute isosceles triangle

acute isosceles

Step-by-step explanation:

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)

6

step-by-step explanation: