Answer:
Option (a) is correct.
The area of triangle is 24 m²
Step-by-step explanation:
Given : A triangle with base 6 m and height 8 m
We have to find the area of the triangle and choose the correct option from the given options.
Area of triangle = [tex]\frac{1}{2}\cdot base\cdot height[/tex]
Given Base = 6 m
and height = 8 m
Therefore, Area of triangle = [tex]\frac{1}{2}\cdot 6\cdot 8=24[/tex]
Thus, The area of triangle is 24 m²
The correct option is [tex]\boxed{\bf option A}[/tex] i.e., the area of triangle is [tex]\boxed{\bf 24\text{\ \bf m}^{2}}[/tex].
Further explanation:
We are given the base and height of the triangle as shown in the given figure.
If the height and base of a triangle is given then the area of the triangle can be calculated by the formula given below,
[tex]\boxed{\text{Area of Triangle}=\dfrac{1}{2}\cdot \text{base}\cdot \text{height}}[/tex] .....(1)
Calculation:
Here, the height of the triangle is [tex]8\text{ m}[/tex] and base of the triangle is [tex]6\text{ m}[/tex].
Substitute the value of height that as [tex]8\text{ m}[/tex] and the value of base that as [tex]6\text{ m}[/tex] in equation (1) to obtain the area of the triangle as follows:
[tex]\begin{aligned}\text{Area of Triangle}&=\dfrac{1}{2}\cdot 6\cdot 8\\&=\dfrac{48}{2}\\&=24\end{aligned}[/tex]
Therefore, the area of the triangle is [tex]\boxed{\bf 24\text{\ \bf m}^{2}}[/tex].
This implies that the correct option is [tex]\boxed{\bf option A}[/tex].
Learn more
1. Problem on the rotation of the triangle about the origin https://brainly.com/question/7437053.
2. Problem on a triangle is when it is rotated about the origin https://brainly.com/question/2992432.
3. Problem on the general form of the equation of the circle https://brainly.com/question/1506955
Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Triangle
Keywords: Triangles, area, height, base, volume, heron’s formula, edges, vertices, collinear, non-collinear, geometry, equilateral triangles, isosceles triangle, right angled triangle, angles, Pythagoras theorem, acute angle, obtuse triangle, congruent triangles, similar triangles.
