Question

NEED ANSWER ASAP HELP Given ABC with altitude h Prove: sin(B)/b=sin(C)/c

Answer 1

Using the given information in the diagram, we have proven that sin(B)/b = sin(C)/c

Proving the Sine rule

From the question, we are to prove that sin(B)/b=sin(C)/c

Consider the right triangle with sides a, c, and h

Using SOH CAH TOA, we can write that

sin(B) = h/c

∴ h = c × sin(B) --------- (1)

Also,

Consider the other right triangle

Using SOH CAH TOA, we can write that

sin(C) = h/b

∴ h = b × sin(C) ---------- (2)

Equate equations (1) and (2)

That is,

c × sin(B) = b × sin(C)

This can then be expressed as

sin(B)/b = sin(C)/c

Hence, the given expression is proven as shown above

Learn more on Proving the Sine rule here: brainly.com/question/12271113

#SPJ1