If you know the other two sides of the triangle, name one a2 & the other one b2 (it doesn't matter which side you call what, just make sure you plug in the 2 sides) and the unknown side (the hypotenuse) c2. The Pythagorean Theorem is
a2 + b2 = c2. Try that & see if you get the answer.
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You will use what you know about the triangle, including the size of sides or angles of that specific triangle, plus properties of any special category of triangles of which it is a member, to calculate the unknown height.
the equation for a triangle is 1/2base*height knowing that it's a simple equation solving for a single unknown.
To find the area of a triangle find the base and the height of the triangle. Then multiply the base by the height, then divide by 2. To find the perimiter of a triangle add together the outside edge of the triangle. To find the area of a triangle find the base and the height of the triangle. Then multiply the base by the height, then divide by 2. To find the perimiter of a triangle add together the outside edge of the triangle.
If the triangle is a right triangle use Pythagorus' Theorum: A2 + B2 = C2 and the height would be the square root of (A2 + B2).
It is impossible to find the height of a triangle with just it's base.