How do you find the height and length of a triangle?

Answer 1

I'm not sure what you are asking, so I may not be answering your question, but I'll try to the best of my ability.

This is only for RIGHT TRIANGLES

• Given a right triangle and the angle measurements besides the 90 degree angle of the right angle are 30 and 60 degrees (the combined angle measurements of a triangle always equal 180 degrees), the base is x, the height is xsqrt3, and the hypotenuse (or the longest side opposite the height) is 2x. This shortcut only works for right triangles with the other angle measurements 30 and 60 degrees.
• For example, you are given a triangle with the base=2 units. Using the shortcut, the height=2sqrt3 units. Then the hypotenuse=4 units.

• Given a right triangle and the angle measurements besides the 90 degree angle of the right angle are 45 and 45 degrees, the base is x, the height is also x, and the hypotenuse is xsqrt2. This shortcut only works for right triangles with both the other angle measurements equal to 45 degrees.
• For example, you are given a triangle with the base=2 units. The height is also 2 units. And finally, the hypotenuse=2sqrt2 units.

*Another way to find the other side beside the shortcut is by using the Pythagorean Theorum (a2+b2=c2) if you are given the other two side measurements.*