Answer:
Step-by-step explanation:
<u>Trigonometric Identities</u>
<u>Trigonometric ratios</u>
where:
- is the angle
- O is the side opposite the angle
- A is the side adjacent the angle
- H is the hypotenuse (the side opposite the right angle)
Using the trig ratio formulas for cosine and sine:
Therefore, using the trig identities and ratios:
Answer:
<em>(16.2t+3.4u+2.9)cm</em>
Step-by-step explanation:
A triangle is a plane shape that has three sides. <em>The perimeter of a triangle is gotten by taking the sum of all the lengths of the three sides</em>. Let the length of the three sides by s1, s2 and s3, the perimeter of the triangle will be expressed as;
P = s1+s2+s3
Given the side lengths
s1 = (8.1t-6.1)cm
s2 = (8.1t+7.1)cm
s3 = (3.4u+1.9)cm
Perimeter of the triangle = 8.1t-6.1+8.1t+7.1+3.4u+1.9
collect the like terms
P = 8.1t+8.1t+3.4u-6.1+7.1+1.9
P = 16.2t+3.4u+2.9
<em>Hence the expression that represents the perimeter, in centimeters, of the triangle is (16.2t+3.4u+2.9)cm</em>