The angles on the opposite sides of two equal sides will always be same.The triangle has two equal sides and a third uneven side, which is the base. The following are some fundamentals of the isosceles triangle: Now, let’s learn how to locate and compute the missing sides of an isosceles triangle. Knowing that an isosceles triangle has two equal sides brings us to the first isosceles triangle theorem. Frequently, a problem will employ this phrase in order to convey facts. The two parallel sides are referred to as the legs, while the third side is referred to as the foundation. Frequently, complex or sophisticated forms are deconstructed into simpler ones, such as triangles. Numerous triangles found in the real world, like a part of a slice of pizza, can be called isosceles. Properties, Characteristics, and Applications of the Isosceles Triangle Isosceles Triangle TheoremsĪccording to the isosceles triangle theorem, if two sides of a triangle are congruent, then their opposing angles are likewise congruent. This article will cover the isosceles triangle theorem and its converse. In mathematics, the isosceles triangle theorem says that the angles opposite the equal sides of an isosceles triangle are also equal in measurement. The reassuring news is that effective treatment is available.An isosceles triangle has two sides of equal length and a third of varying length. While some people may feel some nights that they didn’t get as much sleep as they actually did, SSM becomes a concern when the misperception becomes ingrained or chronic. These individuals will complain that they suffer from insomnia when in fact they do not exhibit any symptoms of sleep deprivation. It occurs when someone mistakenly perceives their sleep as wakefulness and as a result severely underestimates their sleep time. Sleep state misperception is a poorly understood sleep disorder that can adversely affect quality of life. Electroconvulsive therapy, also called electroshock therapy, has been shown to be both safe and effective in patients with severe depression resulting from a fear of insomnia caused by SSM.Education of sleep-wake cycles can help suffers of SSM better understand their disorder and, as a result, lessen anxiety.Cognitive behavioral therapy has been shown effective for some people with underlying anxiety or depression.However, these medications may have side effects such as withdrawal and dependence. Sedative hypnotics, such as prescription Ambien or over-the-counter Benadryl.There are a few treatments for people suffering from sleep state misperception: Other sleep disorders that can lead to insomnia are not present to the degree that would explain the patient’s complaint.There are no mental or psychiatric disorders that would cause the person to complain of insomnia without a sleep deficit.Results from a polysomnography, or sleep study, show normal sleep patterns.Has sleep of a normal duration and quality, and.Getting less than 7 hours of sleep each night.ĭiagnosis of SSM is generally made based on the following three criteria :.Daytime symptoms such as fatigue, moodiness, sleepiness, or reduced energy.Waking during the night and having trouble returning to sleep.Taking more than 30 minutes to fall asleep.Excessive thinking during the night but with little recall of what you were thinking.Ĭonversely, insomnia can be defined by the following symptoms:.Heightened awareness of surroundings when lying down.Being otherwise healthy (psychiatrically and medically speaking) and without the level of impairment that is normally expected with such a level of sleep deprivation.Feeling that you’ve had several years of no sleep, short sleep, or non-restorative sleep.Symptoms of sleep state misperception include: However, the fact that people with SSM are both psychiatrically and medically healthy may indicate the condition is largely underreported. It is estimated that about 5% of the population suffer from sleep state misperception, and that it mostly affects young to middle-aged adults. SSM is a poorly understood sleep disorder. In some cases, having the patient understand normal sleep patterns is enough to alleviate anxiety about their perceived lack of sleep.Ĭonversely, there is a related condition called reverse sleep state misperception, also called positive sleep state misperception, in which people feel that they have slept much longer than they actually have. Sedatives may be prescribed to help relieve symptoms. It is believed that SSM is a type of hypochondria, and treatment often involves cognitive behavioral therapy for underlying anxiety or depression.
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