How do you find the height of an obtuse triangle?

Publish date: 2023-04-05

Since an obtuse triangle has a value of one angle more than 90°. Once the height is obtained, we can find the area of an obtuse triangle by applying the formula mentioned below. Area of ΔABC = 1/2 × h × b where BC is the base, and h is the height of the triangle.

Also, How do I find the height of an isosceles triangle?

Answer. We can find the height by splitting the isosceles triangle into two right-angled triangles and then applying Pythagoras’ Theorem to one of them. h = 13.20 ( t o 2 d .

Hereof, How do you find the height of a triangle using trigonometry?

1.) If we know the area and base of the triangle, the formula h = 2A/b can be used. 2.) If we know side lengths and angles of the triangle, we can use trigonometry to find height.

Also to know What are the sides of an obtuse triangle? An obtuse triangle may be either isosceles (two equal sides and two equal angles) or scalene (no equal sides or angles). An obtuse triangle has only one inscribed square.

How do you find the height of a triangle given two sides?


How to find the height of a triangle – formulas

  • area = b * h / 2 , where b is a base, h – height.
  • so h = 2 * area / b.
  • 16 Related Questions Answers Found

    How do you find the area of a isosceles triangle without the height?

    Draw a line from the angle created by the two equal sides to the base of the isosceles triangle in a way that the base is bisected. This makes the isosceles triangle into two right triangles pasted together. Effectively, the area of the isosceles triangle is equal to sum of the areas of the two right triangles.

    What is a height of a triangle?

    The height of a triangle is the distance from the base to the highest point, and in a right triangle that will be found by the side adjoining the base at a right angle.

    How do you find the side of a triangle given two sides?


    Right Triangles and the Pythagorean Theorem

  • The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , can be used to find the length of any side of a right triangle.
  • The side opposite the right angle is called the hypotenuse (side c in the figure).
  • Is any 3 sided polygon a triangle?

    A three-sided polygon is a triangle.

    Which triangle is an obtuse triangle?

    An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees. In an obtuse triangle, if one angle measures more than 90°, then the sum of the remaining two angles is less than 90°. Here, the triangle ABC is an obtuse triangle, as ∠A measures more than 90 degrees.

    How do you find the height and area of an isosceles triangle?


    Area of Isosceles Triangle Using Only Sides = ½[√(a

    2

    − b

    2

    /4) × b]

  • b = base of the isosceles triangle.
  • h = height of the isosceles triangle.
  • a = length of the two equal sides.
  • How do you find the height of an equilateral triangle?

    and the equation for the height of equilateral triangle look as follows: h = a * √3 / 2 , where a is a side of the triangle.

    Can you solve a triangle with 3 sides?

    SSS” is when we know three sides of the triangle, and want to find the missing angles. To solve an SSS triangle: use The Law of Cosines first to calculate one of the angles. then use The Law of Cosines again to find another angle.

    What is a 28 sided shape called?

    In geometry, an icosioctagon (or icosikaioctagon) or 28-gon is a twenty eight sided polygon. The sum of any icosioctagon’s interior angles is 4680 degrees.

    Is any 4 sided polygon a triangle?

    After triangles, the type of shape we will encounter the most is the quadrilateral: Quadrilateral : A polygon with four sides.

    Polygons in General.

    # of sidesName
    3Triangle
    4Quadrilateral
    5Pentagon
    6Hexagon


    Feb 19, 2009

    What is a 10 sided shape?

    In geometry, a decagon (from the Greek δέκα déka and γωνία gonía, “ten angles”) is a ten-sided polygon or 10-gon. The total sum of the interior angles of a simple decagon is 1440°.

    How do you find the longest side of an obtuse triangle?

    For any triangle, if a2 + b2 < c2, where c is the longest side, the triangle is an obtuse triangle.

    Is Pythagorean theorem only for right triangles?

    The hypotenuse is the longest side and it’s always opposite the right angle. Pythagoras’ theorem only works for right-angled triangles, so you can use it to test whether a triangle has a right angle or not. In the triangle above, if.

    Can a triangle have one obtuse and right angle?

    A triangle cannot have one obtuse and one right angle as 90o+ angle >90o= angle >180o.

    How do u find the height of a rectangle?

    Divide the volume by the product of the length and width to calculate the height of a rectangular object. For this example, the rectangular object has a length of 20, a width of 10 and a volume of 6,000. The product of 20 and 10 is 200, and 6,000 divided by 200 results in 30. The height of the object is 30.

    How do you find the sides of an isosceles triangle?

    To find an unknown side of a triangle, you must know the length of other two sides and/or the altitude. To find the unknown base of an isosceles triangle, using the following formula: 2 * sqrt(L^2 – A^2), where L is the length of the other two legs and A is the altitude of the triangle.

    What is the height of each triangle?

    A triangle’s height is the length of a perpendicular line segment originating on a side and intersecting the opposite angle. In an equilateral triangle, like △SUN △ S U N below, each height is the line segment that splits a side in half and is also an angle bisector of the opposite angle.

    What is the height of a triangle definition?

    Definition: Altitude of a triangle is the perpendicular drawn from the vertex of the triangle to the opposite side. Also, known as the height of the triangle, the altitude makes a right angle triangle with the base.

    What is the length of the height of an equilateral triangle of side A?

    Therefore for an equilateral triangle having each side equal to a, we get a length of an altitude as √3a2 thus option b) is the correct answer.

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