Question: In triangle ABC, prove that angle A is a right angle if and only if the length of the median from A to BC is

In triangle ABC, prove that angle A is a right angle if and only if the length of the median from A to BC is exactly half the length of side BC.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

Suppose that triangle ABC is a right triangle with a right angle at C and hypotenuse c. Also note that a is the length of the side opposite angle A and bis the length of the side opposite angle B....

Q:

9:43 Problem 1. (1 point) Suppose that triangle ABC is a right triangle with a right angle at C and hypotenuse c. Also note that a is the length Of the side opposite angle A and b is the length of...

Q:

Which of the following is the exact value of cot 60? O A. V3 O B. 1 O C. 2 O D. 2A30 ft. ladder is leaning against a building. The ladder reaches the bottom of a window that is located 15 ft. above...

Q:

For another proof of the Pythagorean theorem, consider a right triangle ABC (with right angle at C) whose legs have length a and b and whose hypotenuse has length c. On the extension of side BC pick...

Q:

-3 Consider the triangle ABC' with right angle B. About the angle acin vertex A we know that cos(a) = 9 and about the side AB we know that its length is 2. Determine the length of BC

Q:

Suppose that triangle ABC is a right triangle with a right angle at C and hypotenuse c. Also note that a is the length of the side opposite angle A and b is the length of the side opposite angle B....

Q:

Suppose that triangle ABC is a right triangle with a right angle at C and hypotenuse c Also note that a is the length of the side opposite angle A and b is the length of the side opposite angle B...

Q:

Suppose that triangle ABC is a right triangle with a right angle at C and hypotenuse c. Also note that a is the length of the side opposite angle A and b is the length of the side opposite angle B....

Q:

Suppose that triangle ABC is a right triangle with a right angle at C and hypotenuse c. Also note that a is the length of the side opposite angle A and b is the length of the side opposite angle B....

Q:

In an isosceles triangle ABC with AB AC the bisector of angle C meets side AB at D if BC AC AD then A ZA B C T 3 3 8 C length of angle bisector CD 4 2 2 AB cos D length of angle bisector CD 4 2 2 AB...

Q:

Snark Inc. ended the year with $100,000 in salaries payable. During the year they paid $75,000 in cash salaries and recorded $85,000 in salary expenses. What was their beginning years balance for...

Q:

Write a paper on Threats of Illegal Border Activities

Q:

2. Gross margin is a profitability ratio. What do profitability ratios measure or tell you about a company? 1. Gross margin is a profitability ratio. What do profitability ratios measure or tell you...

Q:

A company is preparing completing their Cash Budget. The following data has been prepared for cash receipts and payments. January February March Cash receipts $1,061,200 $1,182,400 $1,091,700 Cash...