Table of Contents
How do you find the area of a triangle with the hypotenuse?
Area of Right Triangle With Hypotenuse i.e., (hypotenuse)2 = (base)2 + (height)2.
What are the sides of a right triangle whose hypotenuse is 17 cm?
The sides of a right triangle whose hypotenuse is 17cm are 8cm and 15cm. We know that for every natural number m > 1, 2m, m2 –1 and m2 + 1 form a Pythagorean triplet.
How do you find the area of a right triangle with hypotenuse and height?
Explanation: The area of a triangle is denoted by the equation 1/2 b x h. b stands for the length of the base, and h stands for the height. Here we are told that the perimeter (total length of all three sides) is 12, and the hypotenuse (the side that is neither the height nor the base) is 5 units long.
What will be the length of third side of a right angled triangle whose hypotenuse is 17cm and one of the side is 8 cm?
Here 17 cm is the length of hypotenuse, 8 cm is the length of one leg of the right triangle and x cm is the length of the unknown side of the triangle, which is also a leg of right triangle. Solve for x in the equation. ∴ The length of the other side is 15 cm.
What is the formula used by Pythagoras?
Pythagoras theorem equation helps you to solve right-angled triangle problems, using the Pythagoras equation: c2 = a2 + b2 (‘c’ = hypotenuse of the right triangle whereas ‘a’ and ‘b’ are the other two legs.). Hence, any triangle with one angle equal to 90 degrees will be able to produce a Pythagoras triangle.
What is the hypotenuse of a right triangle?
The hypotenuse side is opposite to the right angle, which is the biggest angle of all the three angles in a right triangle. Basically, the hypotenuse is the property of only the right triangle and no other triangle. Now, this is better explained when we learn about the right-angled theorem or Pythagoras Theorem or Pythagorean theorem.
How do you find the altitude of the hypotenuse?
Draw the altitude of the hypotenuse on the triangle. The two new triangles you have created are similar to each other and the main triangle. Divide the length of the shortest side of the main triangle by the hypotenuse of the main triangle. Multiply the result by the length of the remaining side to get the length of the altitude.
How do you find the area of a triangle with one leg?
If you have one leg and hypotenuse given, use the Pythagorean theorem to find the missing leg: Given one angle and one leg, find the area using e.g. trigonometric functions: If you’ve just noticed that your triangle is not a right triangle, check out this general triangle area tool.
What is the longest side of a right-angle triangle called?
The longest side of a right-angle triangle is called the hypotenuse (the side which is opposite to the right angle). In this article, we are going to discuss the meaning of the term hypotenuse along with its formula, theorem, proof and examples.