a.
To find: the dimension of each triangle.
a.
Answer to Problem 33E
6 units, 6 units, 8 units
Explanation of Solution
Given information:
The perimeter of the each triangle (P) is 20 units
Let the length of equal sides be a and length of other side be b.
The dimensions of first triangle (i.e. isosceles triangle) are
The dimensions of second triangle are
Calculation:
The perimeter of isosceles triangle will be as follows:
Put the value of P and rearrange the equation as follows:
The perimeter of second triangle is as follows:
Put the value of P and b and solve the equation as follows:
Put the value of a in the rearranged equation for isosceles triangle and evaluate b as shown below.
The dimensions of first triangle
The dimensions of second triangle
Thus, the dimension for both the triangles is same.
b.
the type of second triangle.
b.
Answer to Problem 33E
Isosceles triangle
Explanation of Solution
Given information:
The dimensions of second triangle are
Calculation:
The dimensions of second triangle
Since, the two sides of the triangle are equal, so it is an isosceles triangle.
Chapter 2 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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