Question

Please show work!! Thank you!

Answer 1

solving a triangle MNL

M=36°

N=?

L=83°

m=?

n=?

l=29

for angle N,

M + N + L=180°

or,36°+N+83°=180°

or, N=180°-36°-83°

or,N=61°

for side m, we have,

(m/sinM) = (l/ sinL)

or, m/sin36°=29/sin83°

or, m=( 29×sin36°)/sin83°

or, m= 17.17

similary, you can find out the value of n by using relation (mnn/sinN) = (l/ sinL) and solve triangle PQR

finding the area

we have,

area of triangle(A)=1/2×ab×sin C

where C is angle and a, b are sides

so area of first triangle is,

A=0.5×21×16×sin30=84 square feet

a

Area of another triangle can be findout in the same way