Question

Assertion: Area of ΔPDC = 160 cm² and area of parallelogram ABCD = 320 m².

Reason: Area of a right angled Δ = `1/2` product of sides containing right angle.

Options

• Both A and R are true and R is the correct reason for A.

• Both A and R are true but R is the incorrect reason for A.

• A is true but R is false.

• A is false but R is true.

Answer 1

A is false but R is true.

Explanation:

Area of ∆PDC = 160 cm² and area of parallelogram ABCD = 320 m².

This statement is mathematically incorrect for two reasons:

Unit mismatch:

• ∆PDC is given as 160 cm²
• ABCD is given as 320 m²
• But 1 m² = 10,000 cm², so 320 m² = 320,000 cm²

So, it's impossible that a triangle (∆PDC) is 160 cm², and the entire parallelogram is 320 m² = 320,000 cm², that’s a massive difference.

Therefore, Assertion is FALSE

Area of a right-angled triangle = `1/2 xx` product of sides containing right angle

This is a standard and correct formula.

So, Reason is TRUE