Area of Obtuse Triangle Without Height Calculator

Obtuse Triangle Area Calculator

Enter base length:
Enter side length:
Enter obtuse angle (degrees):
Calculate Area

To find the area of an obtuse triangle without knowing its height, you can use the following formula:

Area = (1/2) * a * b * sin(C)

Where:

• Area is the area of the triangle.
• a and b are the lengths of two sides of the triangle.
• C is the angle between the two sides a and b.

You can create a table to calculate the area of multiple obtuse triangles with different side lengths and angles. Here’s an example table:

Triangle	Side a (units)	Side b (units)	Angle C (degrees)	Area (square units)
Triangle 1	8	10	120	(1/2) * 8 * 10 * sin(120)
Triangle 2	12	15	150	(1/2) * 12 * 15 * sin(150)
Triangle 3	6	9	100	(1/2) * 6 * 9 * sin(100)

You can calculate the area for each triangle using the formula provided and the given side lengths and angles. Make sure to convert the angle from degrees to radians when using the formula.

FAQs

How to find the area of an obtuse triangle without the height?

To find the area of an obtuse triangle without the height, you can use the following formula:

Area = 1/2 * a * b * sin(C)

Where:

• “a” and “b” are the lengths of two sides of the triangle.
• “C” is the measure of the obtuse angle between sides “a” and “b.”

How do you find the area of an obtuse-angled triangle?

You can find the area of an obtuse-angled triangle using the formula mentioned above: Area = 1/2 * a * b * sin(C).

How do you find the height of an obtuse triangle?

Finding the height of an obtuse triangle can be challenging without knowing any side lengths or angles. You typically need at least one side length or one angle measurement to calculate the height using trigonometry.

Can you calculate the area of a triangle without the base or height?

No, you cannot calculate the area of a triangle without either the base or the height, or without other side lengths and angles.

How do you find area when the height is not given?

You can find the area of a triangle without the height by using the formula mentioned earlier, which involves two side lengths and the sine of the angle between them.

What is the equation for an obtuse triangle?

There isn’t a specific equation for an obtuse triangle other than the general formula for finding its area mentioned earlier.

How do you find the area of a triangle with 3 sides without height?

If you know all three side lengths of a triangle (a, b, and c), you can use Heron’s formula to calculate the area:

Area = √[s(s – a)(s – b)(s – c)]

Where:

• “s” is the semi-perimeter, calculated as s = (a + b + c) / 2.

What is the formula for the area of an obtuse triangle in word form?

The formula for the area of an obtuse triangle in word form is: “Area equals one-half times the product of two side lengths and the sine of the obtuse angle between them.”

How do you find the area and perimeter of an obtuse triangle?

To find the area of an obtuse triangle, use the formula: Area = 1/2 * a * b * sin(C), where “a” and “b” are side lengths, and “C” is the obtuse angle. To find the perimeter, simply add the lengths of all three sides together: Perimeter = a + b + c.

How do you find the area of a triangle with an angle?

You can find the area of a triangle with an angle using the formula: Area = 1/2 * a * b * sin(C), where “a” and “b” are side lengths, and “C” is the given angle.

What is the formula for the area of an isosceles obtuse triangle?

The formula for the area of an isosceles obtuse triangle is the same as for any obtuse triangle: Area = 1/2 * a * b * sin(C), where “a” and “b” are the lengths of the two equal sides, and “C” is the obtuse angle between them.

How to find the height of a triangle?

To find the height of a triangle, you typically need to know the length of the base or one side and the corresponding perpendicular distance from the opposite vertex to the base. You can then use the formula: Height = (2 * Area) / Base.

How do you find the height of a triangle with only angles?

Without any side lengths or other information, you cannot find the height of a triangle solely based on angle measurements.

What is the formula for height using an angle?

There is no formula to find the height of a triangle solely using an angle measurement. You need side lengths or other information to calculate the height.

How do you find the height of a triangle with 3 sides?

To find the height of a triangle with three sides, you’ll typically need to know at least one angle or have additional information about the triangle’s geometry. You can then use trigonometric relationships to calculate the height.

What are the 3 formulas for the area of a triangle?

The three common formulas for finding the area of a triangle are:

1. Area = 1/2 * base * height
2. Area = 1/2 * a * b * sin(C) (for any triangle)
3. Heron’s Formula: Area = √[s(s – a)(s – b)(s – c)] (for any triangle with all side lengths a, b, and c)

Can you calculate the area of any triangle?

Yes, you can calculate the area of any triangle as long as you have sufficient information about the triangle, such as side lengths and/or angle measurements, using the appropriate formula.