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A triangle with interior angles of 42, 87 and 24 degrees doesn't exist because the angles add up to 153 degrees whereas the interior angles of any triangle always add up to 180 degrees.

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Q: What is the area of a triangle if angle a equals 42 degrees angle b equals 87 degrees and angle c equals 24 degrees?
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Continue Learning about Algebra

What does the Pythagorean Theorem state?

The sum of the areas of the two squares on the legs of a triangle (a and b), where the angle between sides a and b is 90 degrees, equals the area of the square on the hypotenuse (c). a2 + b2 = c2


What is true about the area of similar triangles when the sides are increased by the factor of two?

when you multiply the area of the small triangle by four it equals the area of the large triangle.


What is the area or the right triangle 28 cm 35 cm?

The right-angle triangle measures 28cm by 35cm. Such a triangle is half of a rectangle.Therefore 28 x 35 = 980cm2 is the area of a rectangle.980 / 2 = 490cm2 will give the area of the triangle (which is 490cm2).


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

The basic formula is: A = 1/2bh where A is area, b is the base of the triangle and h is the height Using trigonometry, the area of a triangle can also be expressed as: A = 1/2absinC, where A is the area, a and b are two sides of the triangle, and C is the angle between those sides.


What are a score or more facts about the properties of angles and triangles?

1 Angles are measured in degrees, minutes and seconds 2 Angles greater than 0 but less than 90 degrees are acute 3 Angles of 90 degrees are right angles 4 Angles greater the 90 but less than 180 degrees are obtuse 5 Angles greater than 180 but less than 360 degrees are reflex 6 Angle of 360 degrees is a full rotation 7 Triangles are 3 sided polygons 8 Triangles have 3 inside angles that add up to 180 degrees 9 Triangles have 3 outside angles that add up to 360 degrees 10 Triangle that is scalene has 3 different acute angles 11 Triangle that is a right angle triangle has a 90 degree angle and 2 acute angles 12 Triangle that is obtuse has 1 obtuse angle and 2 acute angles 13 Triangle that is isosceles has 2 equal base angles and 2 equal sides 14 Triangle that is equilateral has 3 equal inside angles and 3 equal sides 15 Triangles have no diagonals 16 Triangles will tessellate leaving no gaps or overlaps 17 Triangle's area is 0.5*base*perpendicular height 18 Triangle's perimeter is the sum of its 3 sides 19 Triangle as a right angle triangle is subject to Pythagoras' theorem 20 Triangles are subject to the rules of trigonometry 21 Triangles are the corner stones of all other polygons

Related questions

Given triangle ABC with an area of 100.2 a equals 32.5 c equals 29.2 find angle B expressed in degrees Round your answer to the nearest tenth.?

It is 12.2 degrees.


What is the area of a triangle with angle A equals 38 degrees angle B equals 63 degrees and side c equals 15?

Angle C must equal 79 degrees because there are 180 degrees in a triangle. Use the sine rule to find side b: 15/sin79 = b/sin63 b = 15*sin63/sin79 = 13.61524832 units Use 1/2*c*b*sin38 to find the area: 1/2*15*13.61524832*sin38 = 62.86787901 square units


What are the other lengths and area of triangle ABC when angle A equals 55 degrees and angle B equals 48 degrees with length from A to B being 5 cm?

To an appropriate degree of accuracy and using the sine formulae the other lengths are 3.81 cm and 4.20 cm with the area of the triangle being 7.81 square cm.


What is the area of triangle ABC with the given parts A equals 41 degrees B equals 13.1 degrees C equals 5.8 degrees when rounding to the nearest hundred?

This is not a triangle. All three angles of any triangle must always add up to 180o. The angles you gave add up to only 59.9o.


Can you work out the area of any triangle using bxh divided by 2?

Yes, that works for any triangle. The height always has to be at a right angle to the base. If there is an angle over 90 degrees, you may have to extend the base.Yes, that works for any triangle. The height always has to be at a right angle to the base. If there is an angle over 90 degrees, you may have to extend the base.Yes, that works for any triangle. The height always has to be at a right angle to the base. If there is an angle over 90 degrees, you may have to extend the base.Yes, that works for any triangle. The height always has to be at a right angle to the base. If there is an angle over 90 degrees, you may have to extend the base.


What is the largest angle and area of a triangle having sides of 14cm by 8.5cm by 9cm?

Using cosine rule largest angle is 106.23 degrees to two decimal places. Area of triangle: 0.5*8.5*9*sin(106.23) = 36.73 square cm to two decimal places.


What does the Pythagorean Theorem state?

The sum of the areas of the two squares on the legs of a triangle (a and b), where the angle between sides a and b is 90 degrees, equals the area of the square on the hypotenuse (c). a2 + b2 = c2


What is the area of a triangle when base equals 6m and height equals 7m?

The area of triangle is : 21.0


What is the area of an acute triangle?

the area referrers to the length and circumference of the triangle it self. The measurement matters to find the acute angle it self as a angle not a triangle


What is the largest angle and area of a triangle with sides of 14mm by 8.5mm by 9mm?

Using cosine rule largest angle is: 106.23 degrees Using area formula: 0.5*9*8.5*sin(106.23) = 36.726 square mm


What are the angles and area of a right angle triangle whose smallest sides are 21.32 cm and 12.56 cm?

Using trigonometry the angles are 90 degrees, 59.5 degrees and 30.5 degrees with an area of 133.8896 square cm.


How do you find the length of a hypotenuse if the area equals 36?

If it's a right angle triangle then the dimensions of one of its sides is also needed