The sides of a triangle are in the ratio 13: 14: 15 and its perimeter is 84 cm. Find the area of the triangle.
It is given in the question that,
Perimeter of triangle = 84 cm
Also, sides or triangle are: in ratio 13: 14: 15
Let, a = 13x
b = 14x
c = 15x
We know that,
Perimeter of triangle = Sum of all sides
84 = a + b + c
84 = 13x + 14x + 15x
84 = 42x
x = 2 cm
Thus, a = 13 × 2 = 26 cm
b = 14 × 2 = 28 cm
c = 15 × 2 = 30 cm
∴ s =
= 42 cm
Area of triangle =
= 336 cm2
Given a ABC in which
I. A, B and C are in the ratio 3: 2 :1.
II. AB , AC and BC are in the ratio 3 : 3 : 2 3 and AB = 3 3 cm.
Is ABC a right triangle?
The question give above has two Statements I and II. Answer the questions by using instructions given below:
(a) If the question can be answered by one of the given statements only and not by the other.
(b) If the question can be answered by using either statement alone.
(c) If the question can be answered by using both the statements but cannot be answered by using either statement.
(d) If the question cannot be answered even by using both the statements together.