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39 votes
I need help to find the side

I need help to find the side-example-1
User Librasteve
by
2.5k points

2 Answers

15 votes
15 votes

Answer:

x =14.4cm

Explanation:

Sin x = opp/hyp

This is because we are given angle look into the triangle and see opp given =7 and need hypotenuse

Sin x = 7 / sin (29) = 14.4386574 cm = 14.4cm

This is because the opp is the 7 measure.

x = 14.4cm

We can prove the base is less through Pythagoras theorem

simply as c^2-b^2 = a^2

14.4386.....^2 -7^2 = c^2

sqrt 208.47 - sqrt 49 =c^2

c^2 = sqrt 159 = 7.43849023

therefore base = 7.44

To check angle 29 degrees for 3rd proof

cos (29) x 7/x= (x)

= 203 / x

check 203/29 = 7

Given a=7 and ∠α=29°,

b = 12.62833

c = 14.43866 proof

∠β = 61°

h = 6.12234

area = 44.19917

perimeter = 34.06699

inradius = 2.59484

circumradius = 7.2193

User Mehere
by
3.0k points
10 votes
10 votes

Answer:

x = 10.55cm

Explanation:

Sin 29 degrees = 7cm/x

X = 7cm / sin 29

= 10.55 cm

User Aqila
by
2.8k points