Question

Q 1 A Choose and write the correct alternative.
2
(1) The base and height of a triangle is 9 and 5 respectively. The
base and height of another triangle is 10 and 6 respectively. Find the
ratio of the area of the first triangle to the area of the other triangle.
(A) 9 : 5
(B) 5 : 3 (C) 3 : 4 (D) 4 : 3​

Answer 1

Answer:

option (C) 3 : 4

hope this will be helpful for you

Answer 2

Given:

• The base and height of a triangle is 9 and 5 respectively.
• The base and height of another triangle is 10 and 6 respectively.

To find:

• Find the ratio of the area of the first triangle to the area of the other triangle.

Solution:

• Let's consider ABC is the triangle.

Where,

• Base = 5
• Height = 9

& Let's consider PQR is another triangle.

Where,

• Base = 10
• Height = 6

• Let areas of the triangle be A₁ & A₂ and base & height of triangle ∆ABC be B₁ & H₁ and Base & height of triangle ∆PQR be B₂ & H₂.

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« Now, By Using the formula,

→ A₁ / A₂ = B₁ × H₁ / B₂ × H₂

→ A₁ / A₂ = 5 × 9/10 × 6

→ A₁ / A₂ = 45/60

→ A₁ : A₂ = 3 : 4

∴ Hence, Option C is correct (3 : 4).