0
What is the area of a right angle triangle whose hypotenuse is 9.25 cm and has one leg longer than the other by 1.85 cm?
Wiki User
∙ 10y ago
20.535 cm2
Let one leg be x cm, then the other is (x + 1.85) cm, and using Pythagoras:
x2 + (x + 1.85)2 = 9.252
→ x2 + x2 + 3.7x + 3.4225 = 85.5625
→ 2x2 + 3.7x - 82.14 = 0
→ x = (-3.7 ± √(3.72 - 4 x 2 x -82.14)) / (2 x 2)
= (-3.7 ± 25.9) / 4
= 5.55 or -7.4
The negative value can be ignored as the length of a side must be greater than zero.
Thus, the triangle has sides 5.55 cm, 5.55 + 1.85 = 7.4 cm and 9.25 cm, and its area is:
area = 1/2 x 7.4 cm x 5.55 cm
= 20.535 cm2
Wiki User
∙ 10y ago
Add your answer:
Earn +20 pts
Why is the hypotenuse?
The hypotenuse is the longest side of a right triangle and is opposite the right angle. It is always longer than the other two sides of the triangle. This is because the length of the hypotenuse is determined by the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
How can you identify the hypotenuse of a right triangle?
A right triangle, by definition, has a right (or 90o) angle. The side that is opposite that right angle is the hypotenuse. That is to say, the other two sides, which are not the hypotenuse, are the two sides which meet at a right angle.
What is degree of hypotenuse?
A triangle with an hypotenuse has a right angle that measures 90 degrees and two other acute angles,
Does sohcahtoa work on a 90 degree angle I have a right triangle with a hypotenuse of 1m no other sides or angles were provided?
No. Given a triangle with only the right angle and the hypotenuse, you cannot calculate the other sides nor the other angles.
Which angle has hypotenuse?
For a right angle triangle its hypotenuse is opposite its angle of 90 degrees and its other two angles are acute and its 3 angles add up to 180 degrees.
Why is the hypotenuse?
The hypotenuse is the longest side of a right triangle and is opposite the right angle. It is always longer than the other two sides of the triangle. This is because the length of the hypotenuse is determined by the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Can a right angle triangle ever be equilateral?
No it can't. The hypotenuse of a right triangle will always be longer than either one of the other two sides.
The hypotenuse of a right triangle is the side opposite to what angle?
The hypotenuse is the side of a right triangle opposite the right angle. The legs are the other two sides which form the right angle.
What is the hypotenuse angle theorem?
The hypotenuse angle theorem, also known as the HA theorem, states that 'if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent.'
How can you identify the hypotenuse of a right triangle?
A right triangle, by definition, has a right (or 90o) angle. The side that is opposite that right angle is the hypotenuse. That is to say, the other two sides, which are not the hypotenuse, are the two sides which meet at a right angle.
How do you calculate the hypoteneuse?
If it's a right angle triangle then:- a2+b2 = c2 where 'c' is the hypotenuse and the square root of this is the length of the hypotenuse when 'a' and 'b' are the other sides of the right angle triangle.
Does sohcahtoa work on a 90 degree angle I have a right triangle with a hypotenuse of 1m no other sides or angles were provided?
No. Given a triangle with only the right angle and the hypotenuse, you cannot calculate the other sides nor the other angles.
What is degree of hypotenuse?
A triangle with an hypotenuse has a right angle that measures 90 degrees and two other acute angles,
Which angle has hypotenuse?
For a right angle triangle its hypotenuse is opposite its angle of 90 degrees and its other two angles are acute and its 3 angles add up to 180 degrees.
What is the length of the hypotenuse and its smallest angle of a triangle whose other lengths are 2.34 cm and 1.64 cm?
If it has an hypotenuse then it must be a right angle triangle then by using Pythagoras' theorem its hypotenuse is 2.86 cm rounded and by using trigonometry its smallest angle is 35.02 degrees rounded.
One leg of a right triangle is twice the length of the other leg What is the cosine of the angle between the longer leg and the hypotenuse?
Shorter leg = 1Longer leg = 2Hypotenuse = sqrt(5)Cosine of angle between the longer leg and the hypotenuse = 2 / sqrt(5) = 0.89443 (rounded)The angle is 26.565 degrees (rounded)
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.
