how can i solve this question
Answers
Answer:
Given :- Let The triangle be ∆ABC and ∆PQR.
In ∆ABC,
Base of ∆ABC is BC = 9cm
Altitude of ∆ABC is AE = 5cm
In ∆PQR,
Base is QR = 10cm
Altitude is PM = 6cm
♦ To Find :- Ratio of Area of ∆ABC and ∆PQR
♦ Solution :-
\begin{gathered} = \frac{area \: \: of \: \: abc}{area \: \: of \: \: pqr} \\ \\ = \frac{ \frac{1}{2} \times ae \times bc }{ \frac{1}{2} \times pm \times qr } \\ \\ = \frac{ \frac{1}{2} \times 5 \times 9 }{ \frac{1}{2} \times 6 \times 10} \\ \\ = \frac{3}{4} \\ \\ \end{gathered}
=
areaofpqr
areaofabc
=
2
1
×pm×qr
2
1
×ae×bc
=
2
1
×6×10
2
1
×5×9
=
4
3
Hence, Ratio of Area of ∆ABC to ∆PQR is 3:4
Answer: =
Area(△PQR) Area(△ABC)= 21×PM×QR 21×AC×Bc= 21 ×6×1021 ×5×9 = 43Hence, Ratio of Area of △ABC:Area of △PQR=3:4
Step-by-step explanation: