What is the area of the trapezoid?asap

Step-by-step explanation:

to evaluate for the area of a trapezoid , we need to identify the parameters given so as to substitute correctly.

the formlae for finding the area of a trapezoid

= (a +b) h/2

given that a = 10cm

b = 12cm

h = 16cm

area of a trapezoid= (a +b) hcm/2

area of a trapezoid= (10cm +12cm) 16cm/2

area of a trapezoid= (22cm)8cm

area of a trapezoid=  176cm²

therefore the area of the trapezoid is evaluated to be 176cm²

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

sine

step-by-step explanation: