What is the area of the rhombus ABCD below if AC is equals to 6 cm and

1.	What is the area of the rhombus ABCD below if AC is equals to 6 cm and BC is equals to 4 cm
Answer» Answer: 15.9 cm² Step-by-step explanation: in ΔABC and ΔADC AB = AD (SIDES of a rhombus are EQUAL) AC = AC (common) BC = DC (sides of a rhombus are equal) ∴ ΔABC ≅ ΔADC (SSS congruency) AR(ΔABC) = 1/2(bh) = 1/2(6x√7) = 3√7 ∴ar(ΔADC) = 3√7 ∴ar(ABCD) = ar(ΔABC) + ar(ΔADC) = 3√7 + 3√7 = 6√7 = 6x2.65 = 15.9 cm²

What is the area of the rhombus ABCD below if AC is equals to 6 cm and BC is equals to 4 cm

Answer»

Answer:

15.9 cm²

Step-by-step explanation:

in ΔABC and ΔADC

AB = AD (SIDES of a rhombus are EQUAL)

AC = AC (common)

BC = DC (sides of a rhombus are equal)

∴ ΔABC ≅ ΔADC (SSS congruency)

AR(ΔABC) = 1/2(bh)

= 1/2(6x√7)

= 3√7

∴ar(ΔADC) = 3√7

∴ar(ABCD) = ar(ΔABC) + ar(ΔADC)

= 3√7 + 3√7

= 6√7

= 6x2.65

= 15.9 cm²