A surveyor in Jaipur notes that in triangle ABC, angle A = 40° and angle B = 75°. She needs to order the three roads AB, BC and CA from shortest to longest. Which ordering is correct?

Question

Accepted Answer

BC < AB < CA. angle C = 180 - 40 - 75 = 65°. Angles: A=40 (smallest), C=65, B=75 (largest). Side opposite A is BC (shortest), opposite C is AB, opposite B is CA (longest). So shortest to longest: BC < AB < CA.

A surveyor in Jaipur notes that in triangle ABC, angle A = 40° and angle B = 75°.
She needs to order the three roads AB, BC and CA from shortest to longest. Which ordering is correct?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Inequalities in a Triangle practice

A surveyor in Jaipur notes that in triangle ABC, angle A = 40° and angle B = 75°.She needs to order the three roads AB, BC and CA from shortest to longest. Which ordering is correct?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Inequalities in a Triangle practice

A surveyor in Jaipur notes that in triangle ABC, angle A = 40° and angle B = 75°.
She needs to order the three roads AB, BC and CA from shortest to longest. Which ordering is correct?