39.6k views
1 vote
HELP ASAP! 10 POINTS GIVEN

HELP ASAP! 10 POINTS GIVEN-example-1
User Gerdemb
by
7.7k points

1 Answer

3 votes

Answer: Choice D) 7sqrt(3)

===========================================

Step-by-step explanation:

The altitude of a triangle is the same as the height of a triangle.

Start with equilateral triangle ABC as shown in the attached image below. I have marked point D as the midpoint of side AB. The midpoint cuts that side into two equal parts, so AD = DB, both are 7 cm long. The other two sides are 14 cm.

The goal is to find the length of CD, which we'll call x for now.

Triangles ADC and BDC are right triangles.

Focus on either triangle ADC, or on triangle BDC, it doesn't matter as they are mirror copies of each other.

-------------

a = 7

b = x

c = 14

Use the pythagorean theorem to solve for x

a^2 + b^2 = c^2

7^2 + x^2 = 14^2

49 + x^2 = 196

x^2 = 196 - 49

x^2 = 147

x = sqrt(147)

x = sqrt(49*3)

x = sqrt(49)*sqrt(3)

x = 7*sqrt(3)

HELP ASAP! 10 POINTS GIVEN-example-1
User Baumannalexj
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories