Respuesta :

Answer:

4.2

Step-by-step explanation

Delta

The area of the triangle STU to the nearest of a square centimeter is 4.2 cm².

Area of a triangle

area of the triangle = 1 / 2 tu sin S

where

  • height = u sin S

Therefore,

t = 3.4 cm

u = 6.9 cm

∠S = 21°

Hence,

area of the triangle = 1 / 2 × 3.4 × 6.9 sin 21°

area of the triangle = 23.46 sin 21 / 2

area of the triangle = 23.46 × 0.35836794954 / 2

area of the triangle = 8.40731209633 / 2

area of the triangle = 4.20365604817

area of the triangle = 4.2 cm²

learn more on triangle here: https://brainly.com/question/22252675