Question

32. What is the area of a triangle with base 45.34 meters and height 23.94 meters?
O 545
O 542.75
O 542.72
O 542

Answer 1

Answer:

542.5 or 542

Step-by-step explanation:

1/2 x height x base

= 1/2 x 23.94 x 45.34

=1085/2

=542.5 or 542

Answer 2

Answer:

The area of the triangle is $542.72m$. The correct option is (C).

Explanation:

The area of a triangle can be calculated using three different formulas:

First is the basic formula:

$Area=\frac{1}{2}*base*height$ which is used to calculate the area of a right-angled triangle.

Second is heron's formula:

$Area=\sqrt{s(s-a)(s-b)(s-c)}\\ s=\frac{a+b+c}{2}$

Where s is the semi-perimeter and a, b, and c are the sides of the triangle

The third is with two sides and included angle:

$Area=\frac{1}{2}*b*c*sin(A)$

Where b and c are the sides of the triangle and A is the angle between them.

Step-by-step explanation:

Step-1:

In the triangle, we are given

Base$=45.34m$, Height $=23.94m$

Hence, this a right-angled triangle

Step-2:

The formula for calculating the area of a right-angled triangle is $\frac{1}{2}*base*height$

$Area=\frac{1}{2}*45.34*23.94\\ Area= 542.72m$

Hence, the correct option is (C).

Area of a right-angled triangle:

https://brainly.in/question/186066

Heron's formula:

https://brainly.in/question/2355582