Answer:
c ≈ 6.08 m
Step-by-step explanation:
Your question is how to solve for a missing side length of a triangle when given 2 sides length and an angle. The side length can be solved using the cosine rule . We use cosine rule to find the length of a side of a triangle when given two sides and an included angle.
The cosine rule formula for finding a side length are as follows
c² = a² + b² - 2ab cosC
b² = a² + c² - 2ac cosB
c² = a² + b² - 2ab cosC
Using cosine rule
c² = 4² + 3² - 2 × 4 × 3 cos 120°
c² = 16 + 9 - 24 cos 120°
c² = 25 - 24 (-0.5)
c² = 25 + 12
c² = 37
square root both sides
c = √37
c = 6.0827625303
c ≈ 6.08 m
Can you retype whatever you’re asking in this please?
Step-by-step explanation:
The sum of all inner angles in the shape should be 540°
(180° for triangles, 360° for squares and other simple 4-corner-shapes, the pattern is the number of corners minus 2 multiplied by 180°)
we can calculate
540-106-94-135=205
so we got 205 degrees for the two unclear corners and one of them has to be 5° greater.
x is 100°
x is 100°x+5 is 105°
(note that in the subtraction part we could have subtracted 5 more and would be left with 2x=200)
Answer:
x = 25
<B = 120 degrees
<C = 30 degrees
Step-by-step explanation:
Total angle measure of a triangle - 180 degrees
Add all the angles together to find the value of x
30 + 4x + 20 + x + 5 = 180
55 + 5x = 180
55 - 55 + 5x = 180 - 55
5x = 125
x = 25
<B = 4(25) + 20
<B = 100 + 20
<B = 120
<C = 25 + 5
<C = 30
Answer:
x = 4
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 1² = 9²
x² + 1 = 81 ( subtract 1 from both sides )
x² = 80 ( take square root of both sides )
x = 
= 
= 
× = 4
