The height of a triangle is 90 cm. What lengths of the base will make the area at most 500 cm2 a) {b|b≤11.1¯ cm} b) {b|b<11.1¯ cm} c) {b|b≥5.5¯ cm} d) {b|b≥11.1¯ cm}

The length of the base is b ≤ 11.1 cm.

Solution:

Height of the triangle = 90 cm

Area of the triangle is at most 500 cm²

Area of the triangle ≤ 500

b × 45 ≤ 500

Divide by 45 on both sides.

b ≤ 11.11111111 cm

b ≤ 11.1 cm

The length of the base is b ≤ 11.1 cm.

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80