P is a point on AB and Q on AC of triangle ABC with angle APQ = angle ACB. Given AP = 3, AC = 6 and AQ = 4. Note triangle APQ ~ triangle ACB (AA, with common angle A). Using AP/AC = AQ/AB, find AB.

Question

Accepted Answer

8. Common angle A and angle APQ = angle ACB give AA similarity, so triangle APQ ~ triangle ACB. Then AP/AC = AQ/AB: 3/6 = 4/AB, so AB = 4 x 6 / 3 = 8.

P is a point on AB and Q on AC of triangle ABC with angle APQ = angle ACB. Given AP = 3, AC = 6 and AQ = 4.
Note triangle APQ ~ triangle ACB (AA, with common angle A). Using AP/AC = AQ/AB, find AB.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Criteria for Similarity practice

P is a point on AB and Q on AC of triangle ABC with angle APQ = angle ACB. Given AP = 3, AC = 6 and AQ = 4.Note triangle APQ ~ triangle ACB (AA, with common angle A). Using AP/AC = AQ/AB, find AB.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Criteria for Similarity practice

P is a point on AB and Q on AC of triangle ABC with angle APQ = angle ACB. Given AP = 3, AC = 6 and AQ = 4.
Note triangle APQ ~ triangle ACB (AA, with common angle A). Using AP/AC = AQ/AB, find AB.