Question

A triangle PQR with sides 3 cm, 4 cm and 5 cm is shown.
Triangle A, triangle B and triangle C are all similar to triangle PQR. (a) Which ratio can be used to determine the base of triangle B?
(ü) 3:4
(ii) 4:5
( 5:3
(iv) 5:5​

Answer 1

Given : A triangle PQR with sides 3 cm, 4 cm and 5 cm is shown.

Triangle A, triangle B and triangle C are all similar to triangle PQR.

To Find :  (a) Which ratio can be used to determine the base of triangle B?

(ü) 3:4

(ii) 4:5

( 5:3

(iv) 5:5​

Solution:

ΔPQR ~  Δ in B

Two triangles are similar if their corresponding angles are congruent, and the corresponding sides are in proportion.

in triangle B  , perpendicular leg is given

Hence ratio of corresponding sides = 4/5

Base need to be find

Let say Base = x

Then  4/5  = 3/x

Hence  4: 5  ratio can be used

x = 15/4  = 3.75  cm

4: 5  ratio can be used

Learn More:

Ratio of area of 2 similar triangles are 2:3. Area of the larger triangle is

brainly.in/question/7877543

if triangle abc- triangle def area of triangle abc is 64 square ...

brainly.in/question/14594418

Three triangles are marked out of a bigger triangle at the three ...

brainly.in/question/8018381