What is the area of a triangle with a base of 5 meters and a height of 10 meters ?( 1 point 20 square meters 35 square meters 25 square meters 40 square meters?

This triangle area calculator can help in determining the triangle area. The basic triangle area formula needs to have a base and height given, but what if we don't have it? How can we calculate the area of a triangle with 3 sides only? The triangle area calculator is here for you. Give it a go! If you are still unsure how to find the area of a triangle, check the description below.

A triangle is one of the most basic shapes in geometry. The best known and the most straightforward formula, which almost everybody remembers from school, is:

area = 0.5 * b * h, where b is the length of the base of the triangle, and h is the height/altitude of the triangle.

However, sometimes it's hard to find the height of the triangle. In that cases, many other equations may be used, depending on what you know about the triangle:

Three sides (SSS)

If you know the lengths of all sides, use the Heron's formula:

area = 0.25 * √( (a + b + c) * (-a + b + c) * (a - b + c) * (a + b - c) )

Two sides and the angle between them (SAS)

You can calculate the area of a triangle easily from trigonometry:

area = 0.5 * a * b * sin(γ)

Two angles and a side between them (ASA)

There are different triangle area formulas versions - you can use, for example, trigonometry or law of sines to derive it:

area = a² * sin(β) * sin(γ) / (2 * sin(β + γ))

If you are looking for other formulas or calculators connected with triangles, check out this right triangle calculator, pythagorean theorem calculator, and law of cosines calculator.

Assume that we know two sides and the angle between them:

Type the first side length. It can be equal to 9 inches in our example
Enter the second triangle side. Let's choose 5 in.
Determine the angle between two known sides. For example, 30 degrees.
Watch our triangle area calculator performing all calculations for you! The area for our case is equal to 11.25 in².

To calculate the area of an equilateral triangle, you only need to have the side given:

area = a² * √3 / 4

Although we didn't make a separate calculator for the equilateral triangle area, you can quickly calculate it in this triangle area calculator. Simply use the subpart for the area of a triangle with 3 sides - as you know, every side has the same length in an equilateral triangle. It's possible to calculate that area also in the angle-side-angle or side-angle-side version - you probably remember that every angle in the equilateral triangle is equal to 60 degrees (π/3 rad).

1) What is the area of a triangle with base 5 meters and height 10 meters?

20 square meters
35 square meters
25 square meters
40 square meters

Answer: C

Explanation:

Area of a triangle = ½ * base * height So, the area = ½* 5 * 10

=25 square meters

2) The base of a right-angled triangle is 10 and hypotenuse is 20. What is its area?

52 meters
58 meters
68 meters
60 meters

Answer: D

Explanation:

The area of a right angled triangle = ½ * base * height

Base = 10, Hypotenuse = 20
Height2 = Hypotenuse2 - Base2
= 202 - 162 = 400 - 256

Height2 = 144

Height = 12

Area = ½ * base * height

= ½ * 10 * 12
= 60 meters

3) The sides of a triangle are in the ratio 10: 24:26 and its perimeter is 300 m. What is its area?

2500 m2
3000 m2
3500 m2
4000 m2

Answer: A

Explanation:

Let the sides are 10x, 24x, and 26x. The perimeter is 300 m. So, 10x + 24x + 26x = 300 60x = 300

x= 5

So, the sides are 10 *5 = 50 meters 24 * 5 = 100 meters 26 * 5 = 130 meters

102 + 242 = 262 so, it is a right triangle.

100 + 576 = 676

The area of a right triangle is = 1/2 * base * height = 1/2 * 50 * 100

= 2500 m2

4) The ratio of length and breadth of a rectangular park is 4:2. If a cat running along the boundary of the park at the speed of 18 km/hr completes one round in 10 minutes, find the area of the park in square meters.

50000 sq. m.
45000 sq. m.
68000 sq. m.
55000 sq. m.

Answer: A

Explanation:

One round of the park is equal to the perimeter of the park.

So, by completing one round, the cat covers a distance equal to the perimeter of the park.

Now, Distance or perimeter = speed * time = 18 * (10/60)

= 3 km or 3000 meters

Let Length = 4x and breadth = 2x

So, Perimeter: 2 (4x + 2x) = 3000 8x + 4x = 3000 12x = 3000

x= 3000/12= 250 meters

So, Length = 4 * 250 = 1000 meters

And, Breadth = 2 * 250 = 500 meters

Area = Length * Breadth = 1000 * 500

= 50000 sq. m.

5) The perimeter of the rectangular field is 480 meters and the ratio between the length and breadth is 5:3. Find the area of the field.

7200 m2
15000 m2
13500 m2
54000 m2

Answer: C

Explanation:

Let the length of the rectangle be 5x, and breadth be 3x, Perimeter of a rectangle = 2(l +b) = 480 2(5x + 3x) = 480 2 x 8x = 480 16x = 480

x = 480/16 = 30

∴ Length = 5 x 30 = 150 m
Breadth = 3 x 30 = 90 m

And, Area of rectangle = L x B
= 150 x 90 = 13500 m2

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