Table of Contents
How do you find the base of a triangle given the hypotenuse?
For example, to find the area of a right triangle with a height of 4 cm and hypotenuse 5 cm, we first find its base using the Pythagoras theorem. Then we get, base = √[(hypotenuse)2 – (height)2] = √(52 – 42) = √9 = 3 cm.
How do you find the base perpendicular and hypotenuse?
Furthermore, each side of the right angle triangle has a name.
- Hypotenuse: It is the largest side of the triangle.
- Base: The side on which the right angle triangle stands is known as its base.
- Perpendicular: It is the side perpendicular to the base of the right-angled triangle.
How do you find the base using the Pythagorean Theorem?
Pythagoras Theorem Formula If AB, BC, and AC are the sides of the triangle, then: BC2 = AB2 + AC2. While if a, b, and c are the sides of the triangle, then c2 = a2 + b2. In this case, we can say that AB is the base, AC is the altitude or the height, and BC is the hypotenuse.
How do you find the base of a hypotenuse?
The hypotenuse is related to the base and the altitude of the triangle, by the formula: Hypotenuse2 = Base2 + Altitude2. The base and the altitude are the arms of the right angle, and the hypotenuse is the side opposite to the right angle, in a right-angled triangle.
How do you find the base of a right triangle given the hypotenuse?
We know that the longest side of a right triangle is called the hypotenuse. So, it is given that hypotenuse = 13 units and height = 12 units. base = √(25) = 5 units.
How do you find the base area of a triangular pyramid?
The area of the base of a right triangular pyramid is 1/2 × height of a base triangle × the bottom edge of the base triangle.
How do you determine the base of a triangle?
Finding the Base. Using the Pythagorean theorem, you can find the base, a, of a right triangle if you know the lengths of the height, b, and the hypotenuse. Since the hypotenuse squared is equal to the height squared plus the base squared, then: a^2 = c^2 – b^2.
How do you find the base and height of a triangle?
Find the base and height of the triangle. The base is one side of the triangle. The height is the measure of the tallest point on a triangle. It is found by drawing a perpendicular line from the base to the opposite vertex. This information should be given to you, or you should be able to measure the lengths.
Which is the correct formula to find the area of triangle AED?
The formula for the area of a triangle is 1/2 x the base x the height. The base is the bottom of the triangle, which in the picture is DE, the height is the dashed line AE. The formula becomes area = 1/2 * AE * DE. 5.0.
What is the formula for finding the area of a triangle?
Areas of Triangles. The most common formula for finding the area of a triangle is K = ½ bh, where K is the area of the triangle, b is the base of the triangle, and h is the height.