Base of triangle is 9 amd height is 5 base of another triangle is 10 and height is 6 find the ratio of area of these triangles.
Answers
Answer:
2:5
Step-by-step explanation:
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Step-by-step explanation:
Here's your 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
Hope it helps..