Question

Please help im having trouble with this one

What is the measure of ∠T, rounded to the nearest degree? 22° 33° 43° 68°

Answer 1

22 degrees to the nearest degree.

Explanation:

Use the Cosine Rule

3^2 = 5^2 + 7^2 - 2*5*7*cos T

9 = 74 - 70 cos T

cos T = (74-9)/ 70

cos T = 65/70

m < T = 21.8 degrees.

Answer 2

∠T=22°

Explanation:

Given triangle RST with sides 5 cm, 7 cm, 3 cm.

If all sides are given and find the missing angle, we use cosine rule

`CosA=(b^(2)+c^(2) -a^(2))/(2bc)`

Where,

sides are a, b, c and angle A, B, & C are opposite angles respectively.

So,

`CosT=(r^(2)+s^(2) -t^(2))/(2rs)`

`cosT=(25+49-9)/(70)`

`cosT=(65)/(70) =(13)/(14)`

T = 21.79°≈ 22°

That's the final answer.