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Introduction to Similar Triangles

If ΔABC ∼ ΔPQ...

Question

If $Δ A B C \sim Δ P Q C, B C = 16 c m, A B = 10 c m,$ and $P Q = 5 c m$ , then find the measure of $Q R$ .
[1 Mark]

A. $5 c m$
B. $7 c m$
C. $28 c m$
D. $8 c m$

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Solution

Correct option: D
(1 Mark)

Given, $Δ A B C \sim Δ P Q C$

$⟹ \frac{Q R}{B C} = \frac{P Q}{A B}$

$⟹ Q R = \frac{P Q \times B C}{A B} = \frac{5 \times 16}{10} = 8 c m$

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Similar questions

Q. Question 11

I f Δ A B C \sim Δ Q R P,

\frac{a r (Δ A B C)}{a r (Δ P Q R)} = \frac{9}{4}

,
AB = 18 cm and BC = 15 cm, then PR is equal to :

(A) 10 cm
(B) 12 cm
(C)

\frac{20}{3} c m

Q. In the given figure, ABCD is rhombus. If BC = 13 cm and OD = 5 cm, then AC = _______.

a). 24 cm
b). 12 cm
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Q. Question 5
In

Δ P Q R

∠ R = ∠ P

and QR =4 cm and PR =5cm. Then, the length of PQ is
(A) 4 cm
(B) 5 cm
(C) 2 cm
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Q. If ∆ABC is an isosceles triangle with ∠C = 90° and AC = 5 cm, then AB is

[1]

a) 2.5 cm
b) 5 cm
c) 10 cm
d)

5 \sqrt{2}

Δ A B C \sim Δ Q R P, \frac{a r (Δ A B C)}{a r (Δ P Q R)} = \frac{9}{4}

, AB = 18 cm and BC = 15cm, then PR is equal to

(A) 10 cm
(B) 12 cm
(C)

\frac{20}{3} c m

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