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Since here ABC is a isosceles right triangle, its height is half the size of the hypotenuse. We just need to apply the Pythagorean Theorem to get the length of BC, and divide this length by two. , so . Therefore, and the final answer is . ...Area to Find Height Finding an Equilateral Triangle's Height Determining Height With Angles How do I calculate the height of a right triangle, given only the length of the base and the interior angle Use Heron's formula to determine the area of the triangle. Set the result equal to 1/2bh, and...Finding a Side in a Right-Angled Triangle Find a Side when we know another Side and Angle. We can find an unknown side in a right-angled triangle when we know: one length, and; one angle (apart from the right angle, that is). The height can be anything from 16 inches to a height of almost zero If the triangle is a right triangle as in the first diagram but it is the hypotenuse that has length 16 inches then you can use Pythagoras' theorem to find the length of the third side which, in this case, is the height.