If base and the altitude of a triangle nbsp-are -3m-2n- and -3m-4n- repectively- nbsp-then the area of the triangle is - 1-2- -9m-2-6mn-8n-2-1-2- -9m-2-6mn-8n-2-1-2- -9m-2-6mn-8n-2-1-2- -9m-2-6mn-8n-2-

The correct option is C 1/2× (9m^2 6mn 8n^2) Required area = 1/2× base × height =1/2× (3m+2n) × (3m 4n) =1/2×(3m(3m 4n)+2n(3m 4n)) =1/2× (9m^2 12mn+6nm 8n^2) = ...

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Byju's Answer

Standard VIII

Mathematics

Multiplication of Polynomials

If base and t...

Question

If base and the altitude of a triangle are $(3 m + 2 n)$ and $(3 m - 4 n)$ repectively, then the area of the triangle is _____.

$\frac{1}{2} \times (9 m^{2} + 6 m n - 8 n^{2})$

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$\frac{1}{2} \times (9 m^{2} - 6 m n + 8 n^{2})$

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$\frac{1}{2} \times (9 m^{2} - 6 m n - 8 n^{2})$

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$\frac{1}{2} \times (9 m^{2} + 6 m n + 8 n^{2})$

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Solution

The correct option is C
$\frac{1}{2} \times (9 m^{2} - 6 m n - 8 n^{2})$

$Required area = \frac{1}{2} \times b a s e \times h e i g h t$

$= \frac{1}{2} \times (3 m + 2 n) \times (3 m - 4 n)$

$= \frac{1}{2} \times (3 m (3 m - 4 n) + 2 n (3 m - 4 n))$

$= \frac{1}{2} \times (9 m^{2} - 12 m n + 6 n m - 8 n^{2})$

= $\frac{1}{2} \times (9 m^{2} - 6 m n - 8 n^{2})$

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Similar questions

a^{2} + 4 a b + 4 b^{2} - 9 m^{2} + 6 m n - n^{2}

Match the following:

A		B
1)	(m + 2n) (m − 2n)	a)	m² − 16
2)	(3m + n) (3m − n)	b)	4m² − 25n²
3)	(m + 4) (m − 4)	c)	4m² + 25n²
4)	(2m + 5n) (2m − 5n)	d)	m² − 4n²
		e)	9m² + n²
		f)	9m² − n²

Q. The perimeter of a triangle is 9m²

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2n + 8 and its two sides are 4m² + 3n and 7m² + 5n

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12. Find the third side of the triangle.

If base and the altitude of a triangle are $(3 m + 2 n)$ and $(3 m - 4 n)$ repectively, then the area of the triangle is _____.

Q. Factorise:

9 a^{2} - 12 a b + 4 b^{2} - 9 m^{2} + 6 m n - n^{2}

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If base and the altitude of a triangle are (3m+2n) and (3m−4n) repectively, then the area of the triangle is _____.

The correct option is C 12×(9m2−6mn−8n2) Required area = 12×base×height =12×(3m+2n)×(3m−4n) =12×(3m(3m−4n)+2n(3m−4n)) =12×(9m2−12mn+6nm−8n2) = 12×(9m2−6mn−8n2)

If base and the altitude of a triangle are $(3 m + 2 n)$ and $(3 m - 4 n)$ repectively, then the area of the triangle is _____.