Question

triangle ABC ~ triangle pqr, bc = 4cm, and qr = 7cm, then area of triangle ABC : area of triangle pqr=​

Answer 1

Solution :-

given that,

→ ∆ABC ~ ∆PQR

→ BC = 4 cm

→ QR = 7 cm .

we know that,

• when two ∆'s are similar, ratio of their area = square of there corresponding sides .

So,

→ Area ∆ABC : Area ∆PQR = (AB² : PQ²) = (BC² : QR²) : (AC² : PR²)

putting values of BC and QR,

→ Area ∆ABC : Area ∆PQR = (BC² : QR²)

→ Area ∆ABC : Area ∆PQR = 4² : 7²

→ Area ∆ABC : Area ∆PQR = 16 : 49 (Ans.)

Learn more :-

*जर △ ABC ~ △ DEF असून AB = 12 सेमी and DE = 14 सेमी. तर △ ABC आणि △ DEF यांच्या क्षेत्रफळाचे गुणोत्तर किती?.*

1️⃣ 49/9...

brainly.in/question/37096819

*In triangle ABC, DE || AB. If CD = 3 cm, EC = 4 cm, BE = 6 cm, then DA is equal to …………….*

1️⃣ 7.5 cm

2️⃣ 3 cm

3️⃣ 4.5...

brainly.in/question/37020783

In the figure , Line PQ || Side BC AP = 6 , PB = 8 , AQ = x and QC = 12 , then write the value of x.

https://brainly.in/question/36586072

Answer 2

Answer:

ΔABC ~ ΔPRQ,

PQ is 4 cm, QR is 7 cm, PR is 8 cm

And A(ΔABC)/A(ΔPQR) = 1/4

Concept Used:

When two triangles are similar,

A(Δ ABC)/A(Δ PRQ) = (AB/PR)2 = (BC/RQ)2 = (AC/PQ)2

Calculation:

A(Δ ABC)/A(Δ PRQ) = 1/4

(AC/PQ)2 = 1/4

⇒ AC2/42 = 1/4

⇒ AC2 = 42 × 1/4 = 4

⇒ AC = √4 = 2 cm

∴ Length of AC is 2 cm.

Step-by-step explanation:

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