Introduction:

A right triangle (or right-angled triangle, formerly called a rectangle triangle) has one of its interior angles measuring 90° (a right angle). The side opposite to the right angle is the hypotenuse; it is the longest side of the right triangle. The other two sides are called the legs of the triangle.

 

 

Right triangles obey the Pythagorean Theorem: the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse: a2 + b2 = c2, where a and b are the lengths of the legs and c is the length of the hypotenuse. Special right triangles are right triangles with additional properties that make calculations involving them easier. The most famous is the 3-4-5 right triangle, where 32 + 42 = 52. In this situation, 3, 4, and 5 are a Pythagorean Triple.(Source from Wikipedia).

Using the calculator, we can find the value of hypotenuse when the two sides are known.

Hypotenuse triangle calculator

 

Hypotenus triangle problems:

 

Example problem 1:

Find the hypotenuse of the triangle when the two sides are a=8cm and b=6cm.

Given:

Right angle triangle

a=8cm and b=6cm

Solution:

If we substitute the side values a and b in the calculator, then we get the hypotenuse value.

Using Pythagorean theorem, we have to find the hypotenuse.

: a2 + b2 = c2

82 + 62 = c2

64+36= c2

100= c2

C=10cm

So, the hypotenuse of the triangle is c=10cm.

Example problem 2:

Find the hypotenuse of the triangle when the two sides are a=1.5cm and b=2cm.

Given:

Right angle triangle

a=1.5cm and b=2cm

Solution:

If we substitute the side values a and b in the calculator, then we get the hypotenuse value.

Using Pythagorean theorem, we have to find the hypotenuse.

: a2 + b2 = c2

(1.5)2 + 22 = c2

2.25+4= c2

6.25= c2

C=2.5cm

So, the hypotenuse of the triangle is c=2.5cm.

 

 

Few more problems:

 

Example problem 3:

Find the hypotenuse of the triangle when the two sides are a=7cm and b=8cm.

Given:

Right angle triangle

a=7cm and b=8cm

Solution:

If we substitute the side values a and b in the calculator, then we get the hypotenuse value.

Using Pythagorean theorem, we have to find the hypotenuse.

: a2 + b2 = c2

(7)2 + 82 = c2

49+64= c2

113= c2

C=10.63cm

So, the hypotenuse of the triangle is c=10.63cm.