Question

A triangle has a perimeter of 56 meters. One of the side lengths is 24 meters. The other two side lengths have the same measure, what is the measure of each missing side length?
A) 17 meters
B) 18 meters
C) 16 meters
D) 14 meters

Answer 1

Answer:

The three angles of a triangle are related in a special way. The sum of their measures is 180\text{°}. Note that we read m\text{∠}A as “the measure of angle A.” So in \text{△}ABC in (Figure

m\text{∠}A+m\text{∠}B+m\text{∠}C=180\text{°}

Because the perimeter of a figure is the length of its boundary, the perimeter of \text{△}ABC is the sum of the lengths of its three sides.

P=a+b+c

Answer 2

Given :-

Perimeter = 56m

Side 1 = 24m

Side 2 = ?

Side 3 = ?

And,

Side 2 = Side 3

To Find :-

Find the other two sides of the triangle?

Solution :-

Perimeter of Triangle = a + b + c

56 = 24 + b + c

56 - 24 = 2(b + c)

34/2 = 16m

Thus,

Side 1 = 24m

Side 2 = 16m

Side 3 = 16m

Answered by - @NameAway