Mathematics

# In $\triangle\ PQR,\angle\ Q=40^{o},\angle\ R=75^{o}$, then find the shortest and the longest side of the triangle

##### SOLUTION
$\longrightarrow \angle Q=40^o$
$\angle R=75^o$
$\therefore \angle P=180^o-(40^o+75^o)$
$\therefore \angle P=180-115$
$\therefore \angle P=65^o$
Side opposite to greatest angle is greatest and side opposite to shortest angle is shortest.
$\therefore$ side $PR$ is shortest
$\therefore$ side $PQ$ is longest

You're just one step away

Subjective Medium Published on 09th 09, 2020
Questions 120418
Subjects 10
Chapters 88
Enrolled Students 85

#### Realted Questions

Q1 Subjective Medium
Show that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q2 Subjective Medium
Find complement of the following:

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q3 Single Correct Medium
The measure of an angle which is four times its supplementary angle is:
• A. $36^o$
• B. $180^o$
• C. $150^o$
• D. $144^o$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q4 Subjective Medium

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q5 Single Correct Medium
An angle which measures more than $0^{\circ}$ and less than $90^{\circ}$ is called.
• A. Obtuse
• B. Acute
• C. Right
• D. None

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020