Camille is attending a fundraiser. She pays for her admission and buys raffle tickets for $5 each. If she buys 10 raffle tickets
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Look at the triangle: A right angle triangle is shown with hypotenuse equal to 10 centimeters. An acute angle of the triangle is labeled as x degrees. The side adjacent to the acute angle has length 6 centimeters and the side opposite to the acute angle has length 8 centimeters. What is the value of tan x°?
Answer:
Therefore the value of tan x is
Step-by-step explanation:
Given:
hypotenuse = 10 cm'
side adjacent to the acute angle 'x' = 6 cm.
side opposite to the acute angle 'x' = 8 cm.
To Find:
tan x = ?
Solution:
In Right Angle Triangle , Tan Identity we have
Substituting the values we get
Therefore the value of tan x is
The length of side a is 36 feet and side b is 18 feet and side c is 39 feet
<em><u>Solution:</u></em>
Given that perimeter of triangle is 93 feet
The three sides of triangle are a, b, and c
<em><u>Given that Side a of the triangle is twice as long as side b</u></em>
side a = 2 times side b
a = 2b
---- eqn 1
<em><u>Given that Side c is 3 ft longer than side a</u></em>
side c = 3 + side a
c = 3 + a ------ eqn 2
<em><u>The perimeter of triangle is given as:</u></em>
p = a + b + c
Where a, b, c are the length of sides of triangle
Substitute eqn 1 and eqn 2 in above formula
Given that perimeter = 93
Thus length of side a = 36 feet
<em><u>Length of side b :</u></em>
from eqn 1
b = 18 feet
<em><u>Length of side c:</u></em>
From eqn 2,
c = 3 + 36 = 39
c = 39 feet
Thus length of side a is 36 feet and side b is 18 feet and side c is 39 feet