Question

1. triangle abc is an isosceles triangle. ab = ac = 12 cm. bc = 10 cm. calculate the perpendicular distance from a to bc.

thursday
translate the word problem into an equation and solve.

1. the quotient of a number and six plus 4 is the same as negative one.
2. four less than twice a number is equivalent to three times the number plus ten.

friday
solve each inequality. graph your solution on a number line.

1. -6 < 3x + 3 ≤ 12
2. 2(-2x + 4) > 10

Explanation:

Step1: Dividir el triángulo isósceles en dos triángulos rectángulos.

La mitad de BC es $\frac{10}{2}=5$ cm.

Step2: Aplicar el teorema de Pitágoras.

Sea la altura h. Entonces $h=\sqrt{12^{2}-5^{2}}=\sqrt{144 - 25}=\sqrt{119}\approx 10.91$ cm.

Answer:

Aproximadamente 10.91 cm