Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 4: Q9CE. (page 155)

What kind of triangle has three angle bisectors that are also altitudes and medians?

Short Answer

Expert verified

Equilateral triangle has three angle bisectors that are also altitudes and medians

Step by step solution

01

Step 1. Definition of angle bisectors.

Angle Bisector is a line segment joining a vertex of a triangle with the opposite side such that the angle at the vertex is split into two equal parts.

02

Step 2. Definition of altitude.

Altitude is a line segment joining a vertex of a triangle with the opposite side such that the segment is perpendicular to the opposite side.

03

Step 3. Definition of median.

Median is a line segment joining a vertex of the triangle with the midpoint of the opposite side.

04

Step 4. Draw and name a triangle that has three angle bisectors that are also altitudes and medians

In an equilateral triangle all three lines are all types that is each angle bisector is also an altitude as well as a median.

Thus, equilateral triangle is the required triangle.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

The pentagons shown are congruent. Complete.

If CA¯⊥LA¯,name two right angles in the figures.

Plot the given points on graph paper. Draw ΔABCand ΔDEF. Copy and complete the statement role="math" localid="1638345245002" ΔABC≅?¯.

A1,1B8,1

D3,−7E5,−3F3,0

For the following figure, does the SAS postulates justify that the two triangles are congruent.

For the following figure, does the SAS postulates justify that the two triangles are congruent.

In the following figure, the two-triangle shown are congruent. Then complete the following statement.

ΔABO≅Δ___
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Geometry

Read Explanation

Mechanics Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Statistics

Read Explanation

Applied Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free