The height of a triangle is 6 centimeters less than the base. the area of the triangle is 123.5 square centimeters. find the length of the base and the height of the triangle.

The length of base=19cm

The length of height=13cm

Given:

Area of the triangle A=123.5

Height of the triangle h=b-6

To find:

Length of the base

Length of the height

Step by Step Explanation:

Solution:

According to the formula, Area of the triangle

Where b=Base of the triangle

h=Height of the triangle

We know the value of A=123.5and also we know

h=b-6

Substitute these values in the above equation we get

123.5=

247=

The above equation is of the form

Compare the above two equations we get

A=1, B=-6, C=-247

38/2 OR -26/2

The value of b can't be negative so we take

b=38/2=19cm

Though we know that

h=b-6=19-6=13cm

Result:

Thus the length values of b and h are 19 and 13 cm respectively

m a t h w a y. c o m

step-by-step explanation: