Hello! Happy Sunday! Got a Math question for you, anyone willing to try? Work and answer please! I think the answer is going to

Question

vladimir2022 [97]

8 months ago

8

Hello! Happy Sunday! Got a Math question for you, anyone willing to try? Work and answer please! I think the answer is going to

be a decimal. Brainliest and 50 points waiting!
An isosceles triangle has two congruent sides. The base of the triangle is seven inches longer than three times the length of the other two sides. The perimeter of the triangle is 29 inches. Find the length of all three sides.
Please Help! Due tomorrow!

Mathematics

1 answer:

NeTakaya · Answer 1 · 2024-03-12T03:47:21+03:00

The length of each congruent side of the isosceles triangle is given to be equal 2.75 inches while the base calculated to be equal to 23.5 inches

<h3>How to solve for the congruent sides</h3>

We first have to define x as the length of the congruent side. The question tells us that the base is 7 inches longer than 3x the length of 2 sides

This would be represented as:

= 3(2x) + 7

= 6x + 7

The perimeter of the shape is said to be 29, hence we would have

x + x + (6x + 7) = 29

= 2x + 6x + 7 = 29

= 8x = 29 - 7

8x = 22

x = 22 / 8

= 2.75

Given the value of x we would have to put it in

6x + 7

= 6 x 2.75 + 7

= 23.5

Therefore the length of each congruent side of the isosceles triangle is given to be equal 2.75 inches while the base calculated to be equal to 23.5 inches