Question

b) The sides of a triangle are in the ratio 3:4:5 and the perimeter is 48 cm. Find
(i) the area of the triangle
(ii) the length of the altitude corresponding to the smallest side .​

Answer 1

Appropriate Question:

• Two sides of a triangle are 5 cm and 7 cm and its semi-perimeter is 10 cm. Then the third side of the triangle is?

Given:

• Semi Perimeter of a triangle is 10 cm.
• Two sides of triangle are 5 cm and 7 cm respectively.

To find:

• The third side of the triangle.

Solution:

Let the third side of the triangle be c cm and other sides be a is 5 cm and b is 7 cm respectively.

As we know that,

★ Semi perimeter = Sum of all sides (a + b + c)/2

→ S = 5 + 7 + c/2

→ 10 = 12 + c/2

→ c = 20 - 12

→ = 8 cm ★

•°• Hence, the third side of the triangle is 8 cm.