Question

Suppose two sides of a triangle both measures 4 units, which can be the possible measure of the third side? Choose all the possible whole numbers. 0 1 2 3 4 5 6 7 8 9 10

Answer 1

Answer:

both sides of triangle is 4 units

let ,suppose that the triangle is right angle triangle and there perpendicular and base is equal.

we apply the PGT

B²+P²=H²

so,we find that:-

the third side is equal to 4√2.

Answer 2

Answer:

The possible measures of third side of the triangle are 1, 2, 3, 4, 5, 6, 7

Step-by-step explanation:

Given, the length of two sides of a triangle measures 4 units each

So, side A = 4 units, and  side B = 4 units

In case of a triangle, sum of two sides is always greater than the third side.

So, A+B > C , B+C >A & C+A>B

Thus, the range of C is given by: 4-4< C< 4+4

range of C = 0 < C < 8

But, a triangle cannot be formed with one of its side = 0 units

Therefore, the possible measures of third side of the triangle are 1, 2, 3, 4, 5, 6, 7