Question

ABCD is a trapezoid. = 1 cm and = 5 cm, and the area = 7.5 cm2. What is the altitude of the trapezoid? 1.5 cm 2.5 cm 3 cm 2 cm

Answer 1

Answer:

2.5cm

Step-by-step explanation:

area of a trapeziod = 1/2 (a+b)×h

a=1cm

b=5cm

h=?

area= 7.5cm^2

••••• 7.5cm^2=1/2 (6)h

7.5= 3h

then height = 7.5/3= 2.5cm

Answer 2

Answer:

2.5 cm

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = $\frac{1}{2}$ h(a + b)

where h is the altitude and a, b the parallel bases

Here a = 1, b = 5 and A = 7.5 , thus

$\frac{1}{2}$ h (1 + 5) = 7.5, that is

$\frac{1}{2}$ × 6h = 7.5

3h = 7.5 ( divide both sides by 3 )

h = 2.5 cm ← altitude