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Find the values of a and b in the rhombus. Solve for the value of c, if c=a+b.

Find the values of a and b in the rhombus. Solve for the value of c, if c=a+b.-example-1
User Chlunde
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1 Answer

3 votes

Answer:

a = 5

b = 1.3

c = 6.3

Explanation:

To find the values of a, b and C respectively, let's find a first by recalling that the diagonals of a rhombus are perpendicular to each other.

Therefore, the angle given as (14a + 20) = 90°

Solve for a

14a + 20 = 90

14a = 90 - 20

14a = 70

a = 70/14

a = 5

==>To find b, also recall that all sides of a rhombus are equal.

Therefore 3b + 4 = 13b - 9

Solve for b

4 + 9 = 13b - 3b

13 = 10b

13/10 = b

b = 1.3

==>Find value of c

c = a + b

c = 5 + 1.3

c = 6.3

User Chrisdottel
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