# Two triangles: The lengths of the sides opposite the angles.

In this question ABC and PQR are two triangles, and the lengths of the sides opposite the angles A,B,C P, Q, R are a,b,c,p,q,r, respectively.

Choose the THREE false statements.

Options.

A. If angle A= angle Q and angle B= angle P. then it must follow that c b

--- = --

r p

B. If a b , then it must follow that angle C =

-- = --

p q

angle R.

C. If a b c , then triangles ABC and PQR must

-- = -- = --

p q r

be similar.

D. If triangles ABC and PQR are similar and a q ,

-- = --

b r

then c p

-- =--

a q

E. If the angles A,B and C are measured in radians then A+B+C= 2pi

F. If angle Q= 90 degress, then cos P = p

---.

G p sin R = r sin P

/---------------------

H b= / a^2+ c^2 -2 ac cos B

https://brainmass.com/math/triangles/two-triangles-lengths-sides-opposite-angles-8267

#### Solution Preview

B, E, and F are False.

B: If a/p = b/q, it does not mean that the two ...

#### Solution Summary

A problem about triangles, angles and sides is solved. Choices are explained.