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Why the slant height of a regular square pyramid must be greater than the base edge length?
The slant height of a regular square pyramid is the distance from the apex to the midpoint of a base edge, forming a right triangle with half the base edge and the vertical height of the pyramid. Since the slant height is the hypotenuse of this triangle, it must be greater than either leg due to the Pythagorean theorem. Therefore, the slant height must be greater than the base edge length, ensuring that the apex is above the base.
Does obtuse triangle must have greater area than an acute triangle?
yes. take an obtuse triangle that has a base of 8cm and a height of 3cm. then, take a right triangle that has a base of 3 cm and a height of 4 cm. do the math. the obtuse triangle will have a greater area. hope this helps.
The base of a triangle is 7cm greater than the height The area is 60 cm2 Find the height and length of the base?
Base = 8, Height = 15
What is true of all hypotenuse compared to the other side?
The hypotenuse of any right triangle is longer than either one of the other two sides of the same right triangle. But it's shorter than their sum.
Is a leg of a right triangle the same as its hypothinose?
No any leg of a right angle triangle is smaller than the length of its hypotenuse
Can a triangle have sides 45 45 90?
No, the sum of the legs of a triangle have to be greater than the hypotenuse.
How do you find the height of a fight triangle when the hypotenuse is 9?
I guess you meant a right triangle with a hypotenuse of 9 units.Long answer:If the hypotenuse is used as the base of the triangle, the height will be any value greater than 0 units and less than or equal to 41/2 units.If one of the other two sides is used as the base, then the height will be any value greater than 0 units and less than 9 units such that height = √(81 - base2).Short answer:You can't without further information about one of the other two sides.Short answer expanded:Then you can use Pythagoras to find the third side.If one if the non-hypotenuse sides is the base, then the height is the other side.Otherwise with the hypotenuse as the base, the height is given by:height = product_of_the_other_two_sides ÷ hypotenuse
Is the hypotenuse of a right triangle always greater than any one of the other two sides?
Yes
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.
Why the slant height of a regular square pyramid must be greater than the base edge length?
The slant height of a regular square pyramid is the distance from the apex to the midpoint of a base edge, forming a right triangle with half the base edge and the vertical height of the pyramid. Since the slant height is the hypotenuse of this triangle, it must be greater than either leg due to the Pythagorean theorem. Therefore, the slant height must be greater than the base edge length, ensuring that the apex is above the base.
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 you use an inclined plane is the length greater than the height?
Of course the length is greater than the height. Take the example of a right angled triangle where the hypotenuse is always greater than the other two arms.
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
Is it possible to have a triangle with a right angle and no congruent sides?
Yes providing the sum of its smaller sides is greater than its longest side which in this case will be the hypotenuse of a right angle triangle.
Can a leg of a right triangle be longer than the hypotenuse?
No.
What is the perimeter and area of a right angle triangle that has a height of 7 cm greater than its base and an hypotenuse of 17 cm?
Perimeter: 8+15+17 = 40 cm Area: 0.5*8*15 = 60 square cm
Does obtuse triangle must have greater area than an acute triangle?
yes. take an obtuse triangle that has a base of 8cm and a height of 3cm. then, take a right triangle that has a base of 3 cm and a height of 4 cm. do the math. the obtuse triangle will have a greater area. hope this helps.
