For each of the following compound statements,first identify the corresponding component statements. Then check whether the statements are true or not.
If a triangle $ABC$ is equilateral,then it is isosceles.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) The component statements are given by:
$p: \text{Triangle } ABC \text{ is equilateral.}$
$q: \text{Triangle } ABC \text{ is isosceles.}$
Since every equilateral triangle is also an isosceles triangle,the given compound statement is true.

Explore More

Similar Questions

For each of the following compound statements,first identify the connecting words and then break it into component statements.
$x=2$ and $x=3$ are the roots of the equation $3x^{2} - x - 10 = 0$.

Consider the following three statements:
$P: 11$ is a prime number.
$Q: 7$ is a factor of $176$.
$R$: $LCM$ of $3$ and $7$ is $21$.
Then,the truth value of which one of the following statements is true?

Show that the statement "For any real numbers $a$ and $b$,$a^{2}=b^{2}$ implies that $a=b$" is not true by giving a counter-example.

The simplest form of the following switching circuit is:

Write the negation of the following statement:
Every natural number is an integer.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo