Question
Plot the points A(2, 5), B(-2, 2) and C(4, 2) on a graph paper. Join AB, BC and AC. Calculate the area of $\triangle\text{ABC}.$
✓
Answer
The given points are plotted on the graph paper as follows:
Draw $\text{AM}\perp\text{BC}.$
Area of $\triangle\text{ABC}=\frac{1}{2}\times\text{Base}\times\text{Height}$
$=\frac{1}{2}\times\text{BC}\times\text{AM}$
$=\frac{1}{2}\times6\times3$
= 9 square units.
Draw $\text{AM}\perp\text{BC}.$
Area of $\triangle\text{ABC}=\frac{1}{2}\times\text{Base}\times\text{Height}$
$=\frac{1}{2}\times\text{BC}\times\text{AM}$
$=\frac{1}{2}\times6\times3$
= 9 square units.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Find the mean of the following data:
|
x:
|
19
|
21
|
23
|
25
|
27
|
29
|
31
|
|
f:
|
13
|
15
|
16
|
18
|
16
|
15
|
13
|
ABC is a triangle and D is the mid-point of BC. The perpendiculars from D to AB and AC are equal. prove that the triangle is isosceles.
Represent $\sqrt{5}$ on the number line.
→In figure, if l ∥ m ∥ n and $\angle{1}=60^\circ,$ Find $\angle{2}.$
→P is a point on the bisector of $\angle\text{ABC}.$ If the line through P, parallel to BA meets BC at Q, prove that $\triangle\text{BPQ}$ is an isosceles triangle.
→O is any point on the diagonal PR of a parallelogram PQRS (Fig.) Prove that $\text{ar}(\triangle\text{PSO})=\text{ar}(\triangle\text{PQO})$
→In the adjoining figure, ABCD is a parallelogram whose diagonals intersect each other at O. A line segment EOF is drawn to meet AB at E and DC at F. Prove that OE = OF.
Using factor theorem, factorize the following polynomials: $x^3 - 10x^2 - 53x - 42$
→Two circles with centres O and O′ intersect at two points A and B. A line PQ is drawn parallel to OO′ through A(or B) intersecting the circles at P and Q. Prove that PQ = 2OO′.
If $\text{x}=\frac{1}{2-\sqrt{3}},$ find the value of $x^3 - 2x^2 - 7x + 5.$
→