Answer:
see explanation
Step-by-step explanation:
(a)
Sum the parts of the ratio , 1 + 2 + 3 = 6 parts
Divide sum of angles in a triangle by 6 to find the value of one part of the ratio.
180° ÷ 6 = 30° ← value of 1 part of the ratio
2 parts = 2 × 30° = 60°
3 parts = 3 × 30° = 90°
Since there is an angle of 90° then the triangle is right.
(b)
The shortest side is the side opposite the smallest angle of 30°
Using the sine ratio and the exact value
sin30° =
, then
sin30° =
=
=
( cross- multiply )
2 opp = 19 ( divide both sides by 2 )
opp = 9,5
Shortest side in the triangle is 9.5 cm
Answer:
X=65°
Step-by-step explanation:
Both angles combined is a right angle as indicated by the small square drawn on it, a right angle is always 90° therefore
(x-15°)+40°=90°
combine like terms
x+25°=90°
subtract 25° from each side
x=65°
Answer:0.006439
Step-by-step explanation: