Question

In ∆XYZ, ∠X = 90°, ∠Z = 60° and l(YZ) = 28 cm. Find the length of side XZ​

Answer 1

ꜱɪɴ = ᴩ/ʜ

60=ᴩ/28

√3/2=ᴩ/28

ᴩ=28×√3/2

ᴩ=14√3

Answer 2

Answer:

angle x + angle y + angle z = 180°

(a+30) + 90° + a° = 180°

= 2a = 60°

a = 60÷ 2

a = 30°

Now , 30° = xy upon xz

= 1 upon 2 = xy upon 24

= xy = 12

30° = yz upon xz

√3 upon 2 = yz upon 24

yz = 12√3 cm

there fore the answer will be xy = 12cm and yz = 12 √3 cm