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2 years ago

Figure GHTA below is a parallelogram. = 6 cm, = 8 cm, and the measure of = 60°. Find the area.

Mathematics

2 answers:

Kruka [31]2 years ago

4 0

Answer:

multiply

Step-by-step explanation:

vampirchik [111]2 years ago

4 0

Answer:

The area of parallelogram GHTA is $41.568 cm^2$ .

Step-by-step explanation:

Given parallelogram GHTA

GH = 8 cm =-AT

GA = 6 cm

∠ GAT =∠ GHT = 60°

To find = Area of parallelogram

Solution:

Draw perpendicular GO on the base AT.

In ΔGOA

$\sin 60^o=\frac{GO}{GA}=\frac{GO}{6 cm}$

(sin 60°=0.8660)

GO = 5.196 cm

Area of the parallelogram: GO × AT

$=5.196 cm\times 8 cm =41.568 cm^2$

The area of parallelogram GHTA is $41.568 cm^2$ .

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