What is the approximate measure of angle T in the triangle below? 2.7 cm
3.9 cm
4.3 cm
[Not drawn to scale)

Angle T = 79°

Step-by-step explanation:

From the question given above, the following data were obtained:

Side opposite U (u) = 2.7 cm

Side opposite S (s) = 3.9 cm

Side opposite T (t) = 4.3 cm

Angle T =?

The value of angle T can be obtained by using cosine rule as illustrated below:

t²= s² + u² – 2suCosT

4.3² = 3.9² + 2.7² – 2 × 3.9 × 2.7 × Cos T

18.49 = 15.21 + 7.29 – 21.06 × CosT

18.49 = 22.5 – 21.06 × CosT

Rearrange

21.06 × Cos T= 22.5 – 18.49

21.06 × Cos T = 4.01

Divide both side by 21.06

Cos T = 4.01 / 21.06

Cos T = 0.1904

Take the inverse of Cos

T = Cos¯¹ 0.1904

T = 79°

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.