In def, fe=13 and m(angle)f=34. find df to the nearest tenth

DF is 15.7 unit

Step-by-step explanation:

Given,

In triangle DEF,

m∠E = 90°, m∠F = 34° and EF = 13,

We have to find the measure of side DF.

By the property of a triangle,

m∠E + m∠F + m∠D = 180°

⇒ 90° + 34° + m∠D = 180°

⇒ m∠D = 180° - 124° = 56°

By the law of sines,

  ( By cross multiplication )

By substituting values,

`1234567890-=/*-qwertyuiop[]asdfghjkl; '\\zxcvbnm,./+ /

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6