223,857 views
45 votes
45 votes
Find the area of the rhombus

Find the area of the rhombus-example-1
User Victor Pieper
by
2.8k points

1 Answer

14 votes
14 votes

Answer:

The rhombus has an area of 240 units. (2nd one on the left).

Explanation:

The intersection of diagonals meet at right angles. That means that the labeled sides are the hypotenuse and 1 leg of a right angle triangle. You need to find the other leg by using the Pythagorean Theorem

a^2 + b^2 = c^2

a = 8

b = ?

c = 17

8^2 + b^2 = 17^2

64 + b^2 = 289 Subtract 64

b^2 = 289-64

b^2 = 225 Take the square root of both sides.

sqrt(b^) = sqrt(225)

b = 15

Find the area of 1 triangle

Area = 1/2 * a * b

a = 8

b = 15

Area = 1/2 * 8 * 15

Area = 60

Now find the area of 4 triangles.

4*60 = 240

User Inopinatus
by
2.9k points