/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 52 Determine whether the statement ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Problem 52

Determine whether the statement is true or false. Justify your answer. If a triangle contains an obtuse angle, then it must be oblique.

Short Answer

Expert verified
True. According to the definitions of obtuse and oblique triangles, any triangle that includes an obtuse angle is not a right triangle and therefore must be an oblique triangle.

Step by step solution

01

Define terms

The definitions of an obtuse angle and an oblique triangle are: an obtuse angle is an angle that measures more than 90 degrees, and oblique triangles are those triangles that are not right triangles, meaning they don't have a 90-degree angle.
02

Apply definitions

The statement 'If a triangle contains an obtuse angle, then it must be oblique.' implies that all triangles with an obtuse angle are also oblique triangles. According to the definition of obtuse and oblique triangles, this statement is true. Any triangle that includes an obtuse angle (i.e., an angle greater than 90 degrees) cannot also include a right angle, and so is not a right triangle. Therefore, it is an oblique triangle by definition.

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

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

Find the magnitude and direction angle of the vector v.$$\mathbf{v}=-2 \mathbf{i}+5 \mathbf{j}$$

Find the square roots of the complex number. $$2+2 i$$

Find the square roots of the complex number. $$1+\sqrt{3} i$$

Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form. $$\left[6\left(\cos 15^{\circ}+i \sin 15^{\circ}\right)\right]^{4}$$

Determine whether u and v are orthogonal, parallel, or neither. $$\begin{aligned} &\mathbf{u}=-\frac{3}{5} \mathbf{i}+\frac{7}{10} \mathbf{j}\\\ &\mathbf{v}=12 \mathbf{i}-14 \mathbf{j} \end{aligned}$$
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Calculus

Read Explanation

Mechanics Maths

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.