jjohnson0709 jjohnson0709
  • 21-02-2022
  • Mathematics
contestada

An isosceles triangle has side lengths of 16, an altitude of x, and a base of 2x. Find the length of the base.

Respuesta :

Medunno13
Medunno13 Medunno13
  • 21-02-2022

Answer:

Step-by-step explanation:

Since the altitude of an isosceles triangle drawn from its vertex angle bisects the base, we can use the pythagorean theorem to say that:

16^2 = x^2 + x^2

256 = 2x^2

128=x^2

x = 8sqrt2.

so the base has a length of 16sqrt2.

Answer Link

Otras preguntas

Which two details should be included in a summary of the passage? the required qualities of the riders the military posts along the routes the need to communic
Determine whether the following system of equations is consistent or inconsistent and dependent or independent. y= -3x + 2 y= 2x - 3
solve this numerical please.​
A biologist thinks a virus, which is much smaller than a cell, is likely to cause a disease. Which type of microscope is most likely to be used to view the inte
1. Why is math the "preferred" form of evidence for phenomena? 2. Why do we need data in science? 3. How do we determine if data is appropriate?
read the excerpt from Charles Chesnutt's The House Behind the Cedars. Then, answer the question that follows. Her abundant hair, of a dark and glossy brown, was
When pink flowers four O'clock plant is crossed with a red flower plant.What is the probability of; a;red flower plant b;pink flower plant c;ratio of pink to r
The numbers of students in the four
help me pls i don’t know the answer
Simplify the following wth step by step explanation please