Unit 1 lesson 10 base and heights of triangle

Formula to find the area of a triangle = × base × height

For triangles A, B and D, the base occupies 4 squares and the height occupies 4 squares.

Therefore, area = × 4 × 4

                          = 2 × 4 = 8 sq. units

For triangle E, base occupies 2 squares and height occupies 8 squares.

Therefore, area = × 2 × 8

                          = 8 sq. units

For triangle C, base occupies 3 squares and height occupies 5 squares.

Therefore, area = × 3 × 5

                          = 7.5 sq. units

Hence, triangles whose area is 8 sq. units are A, B, D and E.

19

step-by-step explanation:

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true