Question

Applications of Basic Equations:

97.) An isosceles triangle has two congruent sides that measure 3x + 8 in. and - 9x-5 over 2 in. respectively. The third sidle
28 over 2y-1
measures in. If the perimeter of the triangle is 72 in., find the length of all three sides. Find the value of y. Hint:
solve for x first.

Answer 1

Explanation:

Let the congruent sides of an isosceles △ be x.

Let the base of the isosceles △ be y

According to the 1st condition,

x+x+y=30

2x+y=30

According to the 2nd condition

x=y+3

x−y=3

Solving equation (1) and (2)

2x+y=30

x−y=3

-------------------

3x=33

x=

3

33

​

x=11

By substituting x=11 in equation (1)

2x+y=30

2(11)+y=30

22+y=30

y=30−22

=8

∴ The length of the sides of a △ are 11cm,11cm and 8cm.