0
What are the height and hypotenuse of a right angle triangle whose height is 2 inches greater than its base and has an area of 24 square inches?
Wiki User
∙ 13y ago
Let the height be (x+2) and the base be x:
1/2*height*base = area
1/2*(x+2)*x = 24
Multiply both sides by 2 and multiply out the brackets:
x2+2x = 48
x2+2x-48 = 0
Solving the above quadratic equation works out as:
x = -8 or x = 6 it must be the latter
Therefore: height = 8 inches and base = 6 inches
Use Pythagoras' theorem to find the hypotenuse:
82+62 = 100
hypotenuse = 10 inches
Wiki User
∙ 13y ago
Add your answer:
Earn +20 pts
What is the length of the hypotenuse of a right triangle that has a base of 12 inches and a height of 12 inches?
16.97056275 or about 17 inches
What is the hypotenuse of a right triangle with a base of 24 inches and height of 6 inches?
24.738633753705963298928459135844 sqrt(24*24 +6*6)
What is the hypotenuse of a right triangle with legs 12 inches and 16 inches?
The hypotenuse of a right triangle with legs 12 inches and 16 inches is: 20 inches.
A triangle has a hypotenuse of 20 inches and one of its legs is 8 inches. What is the approximate area of the triangle?
Providing that it is a right angle triangle its area is about 73 square inches. Solved by using Pythagoras and 1/2*base*height = area
The legs of a right triangle are 7 and 11 inches long. What is the length of the hypotenuse?
The hypotenuse is 13.04 inches.
What is the hypotenuse of a right triangle with a base of 24 inches and height of 10 inches?
The hypotenuse of a right triangle with a base of 24 inches and height of 10 inches is: 26 inches.
What is the length of the hypotenuse of a right triangle that has a base of 12 inches and a height of 12 inches?
16.97056275 or about 17 inches
What is the length of the hypotenuse of a right triangle that has a base of 5 inches and a height 12 inches?
Hypotenuse^2 = base^2 + height^2, substitute the given values Hypotenuse^2 = 5^2 + 12^2 Hypotenuse^2 = 25 + 144 Hypotenuse^2 = 169 Hypotenuse = √169 Hypotenuse = 13 Thus, the hypotenuse is 13 inches.
What is the length of the median to the hypotenuse of a right triangle if the hypotenuse is 12 inches in length?
The median to the hypotenuse of a right triangle that is 12 inches in length is 6 inches.
What is the hypotenuse of a right triangle with a base of 24 inches and height of 6 inches?
24.738633753705963298928459135844 sqrt(24*24 +6*6)
What is the hypotenuse of a right triangle with legs 12 inches and 16 inches?
The hypotenuse of a right triangle with legs 12 inches and 16 inches is: 20 inches.
A triangle has a hypotenuse of 20 inches and one of its legs is 8 inches. What is the approximate area of the triangle?
Providing that it is a right angle triangle its area is about 73 square inches. Solved by using Pythagoras and 1/2*base*height = area
What is the hypotenuse of a triangle 18 in x 18 in?
The hypotenuse of a triangle 18" x 18" is: 25.46 inches
The legs of a right triangle are 7 and 11 inches long. What is the length of the hypotenuse?
The hypotenuse is 13.04 inches.
What length of equal sided triangle equals hypotenuse of 42 inches?
An equal sided triangle cannot have a hypotenuse!
What is a sentence for hypotenuse?
The hypotenuse of a triangle is always the longest side. The hypotenuse of the right triangle measured 5 inches. In the formula "a2 + B2 = C2, the hypotenuse is always C.
What is the length of the hypotenuse of a right triangle with legs of lengths 6 and 8in?
The length of the hypotenuse of a right triangle with legs of lengths 6 and 8 inches is: 10 inches.
