Calculate the side lengths a and b to two decimal places.

Mathematics

2 answers:

Strike441 [17]3 years ago

7 0

Answer:

A.)=24.78

B.)=26

C.)=7.33

D.)=25.44

Step-by-step explanation:

A.)11.40+13.38=24.78

B.)11+15=26

C.)4.18+3.15=7.33

D.)10.92+14.52=25.44

Evgesh-ka [11]3 years ago

6 0

Answer:

Step-by-step explanation:

Using the Sine rule to find a and b

We require to find ∠ C

∠ C = 180° - (115 + 43)° = 180° - 158° = 22°

Then

$\frac{a}{sinA}$ = $\frac{c}{sinC}$ , substitute values

$\frac{a}{sin43}$ = $\frac{6}{sin22}$ ( cross- multiply )

a × sin22° = 6 × sin43° ( divide both sides by sin22° )

a = $\frac{6sin43}{sin22}$ ≈ 10.92 ( to 2 dec. places )

---------------------------------------------------------

$\frac{b}{sinB}$ = $\frac{c}{sinC}$ , that is

$\frac{b}{sin115}$ = $\frac{6}{sin22}$ ( cross- multiply )

b × sin22° = 6 × sin115° ( divide both sides by sin22° )

b = $\frac{6sin115}{sin22}$ ≈ 14.52 ( to 2 dec. places )

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