In ΔABC, ∠B = 90°, AB = 9 cm and BC = 12 cm. Calculate the length of AC. and area of triangle ABC

see explanation

Step-by-step explanation:

Using Pythagoras' identity on the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

AC² = AB² + BC² , substitute values

AC² = 9² + 12² = 81 + 144 = 225 ( take the square root of both sides )

AC = = 15 cm

-------------------------------------------

The area of Δ ABC is calculated as

A = × BC × AB = × 12 × 9 = 6 × 9 = 54 cm²

choice b is correct

step-by-step explanation:

we have been given the following system of linear inequalities;

we are required to graphically determine the solution to these system of inequalities. using a graphing tool, the solution is as shown in the attachment below;

8y^50

step-by-step explanation: