Chapter 2: Q15. (page 107)

If the points $P (- 2, 3), Q (2, 5) and R (2, 3)$ are vertices of a triangle, what is the area of the triangle?

Short Answer

Expert verified

The area of the triangle is 4 units square.

Step by step solution

Step-1 – Apply the concept of area of right angled triangles

Area of a triangle is half into the product of its base and height. So, if b is the base and his its height, area of triangle is calculated as.

$A = \frac{1}{2} (base) (height)$

Step-2 –Plot vertices of the triangle

Consider the provided vertices of the triangle $P (- 2, 3), Q (2, 5) and R (2, 3)$ .

Plot the points on Cartesian plane and join them

The triangle is a right angled.

Step-3 –Find the area

The area of the triangle is half times the base and height.

The base of the triangle is 4 units.

The height of the triangle is 2 units.

Therefore, the area of triangle is expressed as below.

\begin{matrix} A = \frac{1}{2} (base) (height) \\ = \frac{1}{2} (4) (2) \\ = 4 \end{matrix}

Thus, the area of the triangle is 4 units square.

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If the points $P (- 2, 3), Q (2, 5) and R (2, 3)$ are vertices of a triangle, what is the area of the triangle?

Short Answer

Step by step solution

Step-1 – Apply the concept of area of right angled triangles

Step-2 –Plot vertices of the triangle

Step-3 –Find the area

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If the points P-2,3,Q2,5andR2,3 are vertices of a triangle, what is the area of the triangle?

Short Answer

Step by step solution

Step-1 – Apply the concept of area of right angled triangles

Step-2 –Plot vertices of the triangle

Step-3 –Find the area

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Theoretical and Mathematical Physics

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Geometry

Study anywhere. Anytime. Across all devices.

If the points $P (- 2, 3), Q (2, 5) and R (2, 3)$ are vertices of a triangle, what is the area of the triangle?