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How do you find the dimensions and interior angles to the nearest degree of a right angle triangle when its hypotenuse is 8 cm greater than its base and with a height of 7 cm greater than its base?
Wiki User
∙ 12y ago
Let the base be x and use Pythagoras:
x2+(x+7)2 = (x+8)2
Multiply out the backets:
x2+x2+14x+49 = x2+16x+64
Rearrange all the terms into a quadratic equation:
x2-2x-15 = 0
Factorize:
(x+3)(x-5) = 0
x = -3 or x = 5 and in this case x must be 5
Therefore the dimensions are: hypotenuse 13 cm, height 12 cm and base 5 cm
Use the tangent ratio to find an interior angle:
tan-1(12/5) = 67.38013505 or 67 degrees
To find the other angle: 90-67 = 23 degrees
Therefore the interior angles are: 90 degrees, 67 degrees and 23 degrees
Wiki User
∙ 12y ago
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Can a triangle have sides 45 45 90?
No, the sum of the legs of a triangle have to be greater than the hypotenuse.
What are the dimensions and area of a right angle triangle when its hypotenuse is 8 cm?
Neither the dimensions nor the area can be determined with only the length of the hypotenuse. In order to do so, you need either the length of one of the legs or an angle - or some other information that will enable to to calculate it. The triangle will have any area greater than 0 cm2 and less than or equal to 16 cm2, dependent upon the two legs of the triangle which will be greater than 0 cm and less than 8 cm and related by the formula: second_leg = √(64 - first_leg2)
Is the hypotenuse of a right triangle always greater than any one of the other two sides?
Yes
Does an obtuse triangle have a greater area than an acute triangle?
It can have the same area, a greater area or a less area all depending on the dimensions of their 3 sides.
Is it true that the exterior angle of a triangle is greater than any of each of its interior angles?
no
Can base of triangle is greater than its hypotenuse?
No because the hypotenuse of a right angle triangle will always be its longest side.
Can a triangle have sides 45 45 90?
No, the sum of the legs of a triangle have to be greater than the hypotenuse.
Is hypotenuse is greater from other sides in Pythagoras theorem?
The hypotenuse is the longest side. In a right-angled triangle, the hypotenuse is always opposite the right angle.
What are the dimensions and area of a right angle triangle when its hypotenuse is 8 cm?
Neither the dimensions nor the area can be determined with only the length of the hypotenuse. In order to do so, you need either the length of one of the legs or an angle - or some other information that will enable to to calculate it. The triangle will have any area greater than 0 cm2 and less than or equal to 16 cm2, dependent upon the two legs of the triangle which will be greater than 0 cm and less than 8 cm and related by the formula: second_leg = √(64 - first_leg2)
Is slant height greater than the height?
Its slant height is bigger. Think of it as a triangle: the hypotenuse is always the largest side, and the slant height is like the hypotenuse.
Is the hypotenuse of a right triangle always greater than any one of the other two sides?
Yes
If a right triangle has a hypotenuse of 12 cm and one leg that measures 16 cm find the length of the other leg?
This is impossible. A leg cannot be greater than the hypotenuse. (Unless the triangle is part imaginary)
When the dimensions of a triangle are tripled is the area of the new triangle 6 times greater than the original triangle?
No. It's 9 times greater. The area changes according to the square ofthe number that you use to multiply all the linear dimensions."3 squared" = 32 = 3 x 3 = 9If you made the dimensions of the triangle 10 times bigger, the areawould become 102 = 100 times greater.
Does an obtuse triangle have a greater area than an acute triangle?
It can have the same area, a greater area or a less area all depending on the dimensions of their 3 sides.
How much greater is the sum of the interior angles of a rombus than the sum of the angles of a right triangle?
interior angles of a rhombus = 360 interior angles of a right triangle =180 2 times as many
Why are there baby snails on the concrete?
Cause they're made of cubic zirconia, which is greater than or equal to the hypotenuse of a right triangle
The length of a rectangle is 1cm longer than its width If the diagonal of the rectangle is 5cm what are the dimensions of the rectangle in centimeters?
Half a rectangle is a right angled triangle. Pythagoras : Triangle whose hypotenuse is 5 and one side is 1 unit greater than the third must be a 3-4-5 triangle, so the rectangle is 3 cm x 4 cm
