0
You need to use the pythagorean theorem to answer this question.
a^2+b^2=c^2
In this case, you know the length of 2 legs. (a and b)...
you are trying to solve for c ( the hypotenuse)...
so.. 6^2+8^2=c^2...
solve for c...
36+64=100... take the square root of 100, and c=10!
Add your answer:
Earn +20 pts
If the legs of an isosceles right triangle are 6 units long What is the length of the hypotenuse?
Archimedes theorem says "the square of the hypotenuse is equal to sum of the squares of the other two sides" so in this example: hypotenuse2 = 62 + 62 = 72 hypotenuse = square root of 72 = 8.485 Alternately: Sin 45o = opposite/hypotenuse = 6/hypotenuse So hypotenuse = 6/sin 45 = 6/0.707 = 8.485
The length of the diagonals of Rhombus are 16 cm and 12cm.Find the length of each sides?
all sides of a rhombus are equal in length.the diagonals of the rhombus intersect at a 90 degree angle.the diagonals and the sides of the rhombus form right triangles.one leg of these right triangles is equal to 8 cm in length.the other leg of these right triangles is equal to 6 cm in lengththat would be half the length of each diagonal.the sides of the triangle form the hypotenuse of these right triangles.the formula is:hypotenuse squared = one leg squared plus other leg squared.this makes the hypotenuse squared equal to 8^2 + 6^2 = 64 + 36 = 100the hypotenuse is the square root of 100 which makes the hypotenuse equal to 10.the sides of the rhombus are equal to 10 cm
Consider a right triangle that has these dimensions The side opposite angle A is 6 meters and the side adjacent angle A is 8 meters. How long is the hypotenuse?
When two sides of a right triangle are 6 and 8, the triangle is similar to a 3-4-5 right triangle. Since 6 is twice 3 and 8 is twice 4, the hypotenuse has to be twice 5 or 10.
The hypotenuse of a triangle is 10 feet long The longer of the two legs is two feet longer than the other Find the length of the shorter leg?
The shorter leg is 6 feet long
One leg of a right triangle measure 6 and the other leg measure 8 How long is the hypotenuse?
10
If the legs of an isosceles right triangle are 6 units long What is the length of the hypotenuse?
Archimedes theorem says "the square of the hypotenuse is equal to sum of the squares of the other two sides" so in this example: hypotenuse2 = 62 + 62 = 72 hypotenuse = square root of 72 = 8.485 Alternately: Sin 45o = opposite/hypotenuse = 6/hypotenuse So hypotenuse = 6/sin 45 = 6/0.707 = 8.485
What is the length of the hypotenuse if the sides of the right triangle are 6 meters each?
The length of the hypotenuse if the sides of the right triangle are 6 meters each is: 8.485 meters.
What is the hypotenuse of a triangle with a 8 and 6 centimeter sides?
Using Pythagoras' theorem the hypotenuse is 10 cm
What is length of the equal sides of an isosceles triangle where the two equal angles are 20 degrees and the third side is 12?
Treat it as being two right angled triangles by halving the base and use the cosine ratio to find its hypotenuse (which will be one of the equal sides) cosine = adjacent/hypotenuse hypotenuse = adjacent/cosine hypotenuse = 6/cosine 20 degrees = 6.385066635 The length of the equal sides = 6.4 units correct to one decimal place.
What is the length of the hypotenuse of a right triangle if the other two sides are 6 feet and 3 feet?
a2 + b2 = c2 (6)2 + (3)2 = c2 36 + 9 =c2 45 = c2 Take the square root of both sides to find c. 6.71 ≈ c
How do you find 2 missing sides of a right triangle?
Two methods to try . #1 Use pythagoras h^ = a^2 + a^2 NB THis is only good if you know that the two unknown sides are the same length. #2 Use trigonometry (trig.) This is good if you know the hypotenuse and one of the angles. Sine(angle) = opposite/ hypotenuse Hence opposite side = hypotenuse X sine(angle) Similarly Cosine(angle) = adjacent / hypotenuse. adjacent side = hypotenuse X Cosine(angle) Here is an example If you known the hypotenuse is a length of '6' and the angle is 30 degrees. Then opposite = 6 X Sin(30) opposite = 6 x 0.5 = 3 So the length of the oppisute sides is '3' units. NB DO NOT make the mistakes of saying Sin(6 X 30) = Sin(180) Nor 6 x 30 , nor Sin(6) X 30 , nor any other combination. You MUST find the SINE of the angle , then multiply it to the given length. Similarly for Cosine and Tangent.
Could 3 6 and 8 represent the length of the sides of a right triangle?
No. Due to Pythagoras' Theorem, the square of the hypotenuse (the longest side of the right triangle) has to be equal to the sum of the squares of the other two sides. If this is too wordy, call the sides a, b and c, where c is the hypotenuse. Then a2+b2=c2 for any right triangle. Hence, with 3, 6 and 8 we have 9+36=64 (or 36+9=64 depending on how you choose a and b) which is clearly wrong, so a triangle with sides of length 3, 6 and 8 is NOT a right triangle.
Two legs of a right triangle are 6 and 8 what is the length of the hypotenuse?
The length of the hypotenuse is: 10
What is the hypotenuse if all sides are 6 units long?
The side opposite the 90 degree angle.
What is the length of the longest side of a right triangle if the lengths of the two shorter sides are 6 centimeters and 8 centimeters?
Using Pythagoras' theorem the hypotenuse works out as 10 cm
What is the length of the hypotenuse of a right triangle where the two sides are 6 units and 8 units long?
Use Pythagoras' theorem: 62+82 = hypotenuse2 36+64 = 100 The square root of 100 is 10 So the length of the hypotenuse is 10 units.
The length of the diagonals of Rhombus are 16 cm and 12cm.Find the length of each sides?
all sides of a rhombus are equal in length.the diagonals of the rhombus intersect at a 90 degree angle.the diagonals and the sides of the rhombus form right triangles.one leg of these right triangles is equal to 8 cm in length.the other leg of these right triangles is equal to 6 cm in lengththat would be half the length of each diagonal.the sides of the triangle form the hypotenuse of these right triangles.the formula is:hypotenuse squared = one leg squared plus other leg squared.this makes the hypotenuse squared equal to 8^2 + 6^2 = 64 + 36 = 100the hypotenuse is the square root of 100 which makes the hypotenuse equal to 10.the sides of the rhombus are equal to 10 cm
