In ΔNOP, o = 64 inches, p = 83 inches and ∠N=168°. Find the area of ΔNOP, to the nearest square inch.

Step-by-step explanation:

\text{Area of a Triangle}\rightarrow \text{S.A.S.}

Area of a Triangle→S.A.S.

\text{Area}=\frac{1}{2}ab\sin C

Area=  

2

1

​

absinC

From reference sheet.

\text{Area}=\frac{1}{2}(64)(83)\sin 168

Area=  

2

1

​

(64)(83)sin168

Plug in values.

\text{Area}\approx552.213\approx 552

Area≈552.213≈552

Evaluate and round.

552

552

Step-by-step explanation:

Area of a Triangle→S.A.S.

Area=1/2 ab sin C

area = 1/2 (64)(83) sin 168

area=552.213=552

last option: rhombus or kite

step-by-step explanation:

a kite and rhombus have the same shape. as we don't have any specific formula for the calculation of area of kite. the diagonals are used to calculate the area of a kite or rhombus.

the formula for area of rhombus is given by:

here, d_1 is the first diagonal and d_2 is the second diagonal.

so,

last option is the correct answer ..

.95

step-by-step explanation: