Question

Which equation below is a true statement about △ABC?

A. x = b-acosC

B. cosC = h/a

C. h = acosC

D. cosC = h/b

Answer 1

The correct option is:

A. x = b-acosC

Explanation:

We are given a triangle ABC

in each and every option cosC is present, so we calculate the value of cosc

cosC=
`(Base)/(Hypotenuse)\\ \\=(DC)/(BC)\\ \\=(b-x)/(a)`

⇒ acosC=b-x

⇒ x=b-acosC

Hence, correct option is:

A. x = b-acosC

Answer 2

we know that
in the right triangle BDC
cos C=(b-x)/a---> a*cos C=b-x-----> x=b-a*cos C
sin C=h/a-----> h=a*sin C

therefore

the answer is
A.) x = b-acosC