How many triangles can be constructed with side measurements 6 cm, 15 cm, 20 cm?
a. no triangles
b. exactly one triangle
c. more than one triangle

Option: B is the correct answer.

         B.   Exactly one triangle.

We are given the side lengths of a triangle as:

    6 cm, 15 cm and 20 cm.

We know that with the help of all the three side lengths of a given triangle a unique triangle is constructed.

( Whereas with the help of given three angle measures of a triangle infinite number of such triangles could be constructed with different side lengths)

            Hence, the answer is:

                      Option: B

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

8

step-by-step explanation: