82.4k views
4 votes
Please help me solve this right triangle on my homework if you can!

Please help me solve this right triangle on my homework if you can!-example-1
User BlackCath
by
7.3k points

1 Answer

3 votes

a = 11.6

b = 21.6

c =

A=

B=

C= 90 ( right triangle )

For the missing side apply the Pythagorean theorem:

c^2 = a^2 + b^2

Where:

c = hypotenuse

a & b = the other 2 legs of the triangle:

c^2 = (11.6)^2 + (21.6)^2

c ^2 = 134.56 + 466.56

c^2 = 601.12

c =√601.12

c= 24.52

For the missing angles apply trigonometric functions:

Sin a = opposite side / hypotenuse

Sin A = 11.6 / 24.52

A = Arcsin (11.6/24.52)

A = 28.23 °

Sum of all interior angles of a triangle = 180°

A + B + C = 180

28.23 + B + 90 = 180

B = 180 - 90 -28.23

B= 61.77

Anwers

a = 11.6

b = 21.6

c = 24.52

A= 28.23

B= 61.77

C= 90

User Tom Fakes
by
7.1k points