Answer #2:
You can not find the length and height with only the hypotenuse.
You must know one of them, in addition to the hypotenuse, in order
to find the other one.
Now, we turn you over to Answer #1, which is just about to begin:
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Answer #1:
leg2 + height2 = hypotenuse2 (we are talking for their length measures).
Let's denote by x the leg length measure, and y the height length measure. So we have:
x2 + y2 = 322 (subtract x from both sides)
y2 = 322 - x2 (square root to both sides)
y = √(322 - x2) (since the length measure is always positive) This is only true when
322 - x2 > 0 (add x2 to both sides)
322 > x2
32 > x or x < 32.
Thus we can say, 0 < leg length measure < 32. For any values of x in the required interval, you can find values for y.
Be careful, when you chose a value for x, because
32 + x > y and
32 - x < y
For example, if x = 16, then y = 27.712, and so on.
32/4 = 8 units in length
Since the triangle has a hypotenuse, it must be a right triangle. Therefore, the Pythagorean theorem applies, and the height of the triangle must be sq rt (32 - 22).
Use Pythagorean Theorem: 32+42 = 25 (the hypotenuse squared) The square root of 25 is 5. Length of the hypotenuse = 5 units
A ladder leaning against a 20ft wall, with an angle of 32 degrees with respect to the wall, must be 24ft long. cos(theta) = adjacent over hypotenuse cos(32) = 20 / hypotenuse hypotenuse = 20 / cos(32) hypotenuse = 23.58
To get the hypotenuse you need to square the twoo legs and add them together. Then that final answer, you find the square root of, and that's your FINAL answer. If both legs are 4, then you square four: 42 + 42 = 16+16 = 32 The square root of 32 is: about 5.65 5.65 is the length of your hypotenuse. Hope this helps -FlapJack
32/4 = 8 units in length
Since the triangle has a hypotenuse, it must be a right triangle. Therefore, the Pythagorean theorem applies, and the height of the triangle must be sq rt (32 - 22).
The area of a right triangle with base of 8 and height of 8 is: 32 square units. The hypotenuse is 11.31 units.
(Hypotenuse)2 = 72 + 32 = 49 + 9 = 58 So hypotenuse = sqrt(58) = 7.616 cm
Use Pythagorean Theorem: 32+42 = 25 (the hypotenuse squared) The square root of 25 is 5. Length of the hypotenuse = 5 units
A ladder leaning against a 20ft wall, with an angle of 32 degrees with respect to the wall, must be 24ft long. cos(theta) = adjacent over hypotenuse cos(32) = 20 / hypotenuse hypotenuse = 20 / cos(32) hypotenuse = 23.58
The formula to find the hypotenuse of a right triangle is a2+b2=c2. c being the hypotenuse, a and b being the legs. So, 42+32=c2. 16+9=c2. 25=c2. c=5. The hypotenuse is 5.
For example you can cut out a 3 inch base, 4 inch height and a 5 inch hypotenuse of a right angle triangle to prove Pythagoras' theorem that the hypotenuse squared is equal to the sum of its squared sides:- 32+42 = 52
To get the hypotenuse you need to square the twoo legs and add them together. Then that final answer, you find the square root of, and that's your FINAL answer. If both legs are 4, then you square four: 42 + 42 = 16+16 = 32 The square root of 32 is: about 5.65 5.65 is the length of your hypotenuse. Hope this helps -FlapJack
Using Pythagoras' theorem the hypotenuse is 40 inches
If one side of a right angled triangle is 32 and the other side is 43 the hypotenuse is 53.6
Using Pythagoras: 32+32 = 18 and its square root is the length of the hypotenuse which is about 4.243 rounded to 3 decimal places