Register
The longest side of an acute triangle measures 30 inches. The two remaining sides are congruent, but their length is unknown. What is the smallest possible perimeter of the triangle, rounded to the nearest
3.6k views
1 vote
The longest side of an acute triangle measures 30 inches. The two remaining sides are congruent, but their length is unknown. What is the smallest possible perimeter of the triangle, rounded to the nearest hundredth?

User Andy Mccullough
by
7.5k points

2 Answers

7 votes

Answer:

72.4 in.

Explanation:

User Quake
by
7.8k points
6 votes
If the triangle were right-angled then the other 2 sides would be of length 30 / sqrt2 = 21.213 inches.

But it is acute angled so they will be a bit longer than this
they could be say 21.215 inches

So the required perimeter = 30 + 2*21.215 = 72.43 inches to nearest hundredth
User Thomas Keller
by
6.7k points
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

7.9m questions

10.5m answers

Other Questions

How do you can you solve this problem 37 + y = 87; y =
What is .725 as a fraction
How do you estimate of 4 5/8 X 1/3
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
i have a field 60m long and 110 wide going to be paved i ordered 660000000cm cubed of cement  how thick must the cement be to cover field
Link Copied!