What is the maximum area of a triangle with a hypotenuse of 12?
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What is the maximum area of a triangle with a hypotenuse of 12?
The maximum area of a right angled triangle with a hypotenuse of 12 is one which is an isosceles right angled triangle whose altitude on the hypotenuse = 6, and so the area = 12*6/2 = 36 sq units.
How do you find the length and perimeter of a triangle?
Solution: Since all three sides are equal in length, the triangle is an equilateral triangle. Perimeter = 30 cm….Read More:
| Perimeter of a Triangle Formula | Equilateral Triangle Formula |
|---|---|
| Acute angled Triangle | Isosceles Triangle Perimeter Formula |
How do you find the side length of a right triangle?
Right Triangles and the Pythagorean Theorem
- The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , can be used to find the length of any side of a right triangle.
- The side opposite the right angle is called the hypotenuse (side c in the figure).
Is the hypotenuse always the longest side of a triangle?
Yes, the hypotenuse is always the longest side, but only for right angled triangles. For isosceles triangles, the two equal sides are known as the legs, while in an equilateral triangle all sides are known simply as sides.
Which is the longest side of a right triangle?
A hypotenuse is the longest side of a right triangle. It’s the side that is opposite to the right angle (90°).
How do you find the hypotenuse of a given angle?
How do I find hypotenuse with sin? 1 Perform the sin operation on the angle (not the right angle). 2 Divide the length of the side opposite the angle from step 1 by the result of step 1. 3 The result is the hypotenuse.
How do you find the hypotenuse of an isosceles right triangle?
How do I find the hypotenuse of isosceles right triangle? 1 Find the length of one of the non-hypotenuse sides. 2 Square the length of the side. 3 Double the result of the previous step. 4 Square root the result of step 3. This is the length of the hypotenuse.