Area of a triangle = 12 base × ______.

Area of a triangle = `1/2` base × ______.

Fill in the Blanks

Area of a triangle = `1/2` base × height.

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Chapter 9: Perimeter and Area - Exercise [Page 276]

Chapter 9 Perimeter and Area
Exercise | Q 53. | Page 276

If the points A(x, 2), B(−3, −4) and C(7, − 5) are collinear, then the value of x is:

(A) −63
(B) 63
(C) 60
(D) −60

If A(−4, 8), B(−3, −4), C(0, −5) and D(5, 6) are the vertices of a quadrilateral ABCD, find its area.

Prove that the points (a, b + c), (b, c + a) and (c, a + b) are collinear

Find the area of the following triangle:

If a ≠ b ≠ c, prove that the points (a, a²), (b, b²), (c, c²) can never be collinear.

Show that the points A(3, 0), B(6, 4) and C(–1, 3) are the vertices of an isosceles right triangle.

For what value of x are the points A(−3, 12), B(7, 6) and C(x, 9) collinear.

The area of a trapezium is 475 cm² and the height is 19 cm. Find the lengths of its two parallel sides if one side is 4 cm greater than the other.

If area of a triangular piece of cardboard is 90 cm², then the length of altitude corresponding to 20 cm long base is ______ cm.

Using determinants, find the area of ΔPQR with vertices P(3, 1), Q(9, 3) and R(5, 7). Also, find the equation of line PQ using determinants.