Base of a triangle is 9 and height is 5. Base of another triangle is 10 and height is 6. Find the ratio of areas of these triangles
Answers
Answer:
Heya !!
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
Answer:
Answer by
Brainlyguru01
Trusted Helper
Brainly
Move to your question
To find your answer we have to first find the area of both triangle.
Area of triangle =1/2×base×height
So we call these triangle as triangle 1 and triangle 2
Triangle 1
Base of triangle 1 = 5
Height of triangle 1 = 9
Area of triangle 1 = 1/2× base × height
=1/2×5×9
= 45/2
=22.5
Triangle 2
Base of triangle 2 = 10
Height of Traingle 2 = 6
Area of Traingle 2 =1/2×base×height
=1/2×10×6
=30
So the ratio of both triangle is
22.5:30
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