Right Scalene Triangle

Students can learn about right scalene triangles here. The right scalene triangle is studied under Traingles topic under Geometry. Students can get help with Geometry problems related to traingles from the online tutors.

What is scalene triangle?

                Right triangle is a triangle and its one of an angle is equal to 90⁰ . The remaining two angles are acute angles. The side which is opposite to the angle 90⁰ is hypotenuse side. The other two sides are adjacent side and opposite side. In scalene triangle all the angles are different and all the sides are different.

A triangle having three unequal sides and three unequal angles is called as a scalene triangle. If scalene triangle consisting one angle as 90 degree then it is said to be a right scalene triangle. A right triangle with angle measures of (30 - 60 - 90) degrees is a special right triangle, and it’s also a scalene triangle, because the triangle has three different sides and angles

Scalene Triangle definition

Types of scalene triangles 

          Acute scalene triangle is represented  a triangle with three acute angles and three different sides.

          Obtuse scalene triangle is represented as a triangle with one obtuse angle and three different sides.

          Right scalene triangle is represented as a triangle with one right angle and three different sides.

          Special scalene right triangle is represented as a triangle with angle measures of (30 - 60- 90) degrees.

Area of a scalene triangle 

          The area of a triangle , If the base and height of the scalene triangle is given,

                    area = ½ * b * h square units

          If all three sides are given, i.e. a, b, and c

                    s = (a + b + c) / 2

          area = `sqrt (s * (s - a) * (s - b) * (s - c))` square units

Perimeter of scalene triangle 

Students can learn to compute the Perimeter here:

          Perimeter = a + b + c

The diagram given below the structure of a right scalene triangle:

Scalene triangle formulas

Find out the right scalene triangle from the given example:


choices:
A. Figure A
B. Figure B
C. Figure C
D. Figure D
Solution:
Step 1: In a scalene triangle, all sides will not be equal
Step 2: Here, the first figure has 3 unequal sides with 90^o.
Step 3: So, first figure is the right scalene triangles.
Answer: A.


Example2:  Find the third side from the given right scalene triangle:



Solution:
The scalene right  angle sides are not equal and the any one angle will be 90^o.
by using the pythagoras theorem
AC²= AB²+BC²
here AC=100 and AB= 6, and we need to find the BC value.
100 = 6²+ BC²
100 = 36+BC²
100-36 = 36-36 +BC²
64 = BC²
BC = `sqrt64`
BC=  8
AB=6, BC=8 and AC=10, so above three sides are not equal and it has a right scalene triangle.