X+ 2
diagram not
accurately drawn
x-5
x + 6
the diagram shows a trapezium.
the lengths of three of the sides of the trapezium are x - 5, x + 2 and x + 6.
all measurements are given in centimetres.
the area of the trapezium is 36 cm.
(a) show that x^2- x - 56 = 0

-look at the picture (a)

see explanation

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = h (a + b)

where a, b are the measures of the parallel sides and h the perpendicular distance between them.

here h = x - 5, a = x + 6 and b = x + 2, thus

A = (x - 5)(x + 6 + x + 2) = 36

Multiply both sides by 2 to clear the fraction

(x - 5)(2x + 8) = 72 ← expand left side

2x² - 2x - 40 = 72 ← divide through by 2

x² - x - 20 = 36 ( subtract 36 from both sides )

x² - x - 56 = 0 ← as required

where did you get them? if you picked from the grass, is is probably poisonous.

step-by-step explanation:

sas (side angle side)

aa (angle angle)

sss(side side side)

sas find two sides with an angle in between

aa is finding two angles and the third will add up to 180

sss find all sides

step-by-step explanation: