Q15. If the points P-2,3,Q2,5聽and聽R... [FREE SOLUTION]

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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the average (arithmetic mean) of three integers x, y, z and 29	30

91影视

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

One App. One Place for Learning.

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91影视

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

Mechanics Maths

Applied Mathematics

Decision Maths

Probability and Statistics

Geometry

Logic and Functions

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?