Question

the points A(0, 6), B(-5, 3) and C(3, 11) are the vertices of triangle which is​

Answer 1

Answer:

Step-by-step explanation:

Equilateral: If all sides are equal,

Scalene: If all sides are unequal,

Right angled: If the sum of squares of measures of two sides is equal to the square of measure of third sides,

Here, A(0, 6), B(-5, 3) and C(3, 1) are the vertices of triangle,

By the distance formula,

AB=√(-5-0)² + (3 − 6)² = √25 +9 √34 unit =

BC = √(3 + 5)² + (1 − 3)² = √64+4= √68 unit

AC √(3-0)² + (1 - 6)² = √9+25 = √34 unit

Since, AB AC # BC =

Thus, by the above properties,

AABC is an isosceles triangle.

i.e. OPTION a) is correct.