If a, b and c are the three sides of a triangle, then-
- Aa + b = c
- Ba + b < c
- ✓a + b > c
- Da – b > c
Answer: C.
View full solution →Question types
PART - 1 CH : 7 A Tale of Three Intersecting Lines question types
20 questions across 6 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
20
Questions
6
Question groups
5
Question types
01
M.C.Q. [1 Marks Each]
4 Q→02Assertion (A) & Reason (B) MCQ
1 Q→03True False[1 Marks ]
5 Q→04BLANKS [1 Marks Each]
3 Q→052 Marks Questions
1 Q→063 Marks Question
6 Q→Sample Questions
PART - 1 CH : 7 A Tale of Three Intersecting Lines questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
The value of the unknown exterior angle x in the given triangle is :
- ✓$70^{\circ}$
- B$110^{\circ}$
- C$40^{\circ}$
- D$90^{\circ}$
Answer: A.
View full solution →Which of the following represents the altitude of the triangle ABC?
- AAM
- ✓AL
- CAP
- DAN
Answer: B.
View full solution →A triangle is not possible if the measures of the angles are-
- A$40^{\circ}, 65^{\circ}, 75^{\circ}$
- B$56^{\circ}, 50^{\circ}, 74^{\circ}$
- C$72^{\circ}, 63^{\circ}, 45^{\circ}$
- ✓$67^{\circ}, 42^{\circ}, 81^{\circ}$
Answer: D.
View full solution →Assertion (A): If two internal opposite angles of a triangle are equal and the external angle is 110°, then each internal angle is 50°.
Reason (R): A triangle with one of its angles as 110° is called an obtuse-angled triangle.
Reason (R): A triangle with one of its angles as 110° is called an obtuse-angled triangle.
- ABoth assertion and reason are true and the reason is the correct explanation of assertion.
- BBoth assertion and reason are true but the reason is not the correct explanation of the assertion.
- CAssertion is true and the reason is false.
- ✓Assertion is false and the reason is true.
Answer: D.
View full solution →A triangle can have two obtuse and one acute angle.
The altitude of a triangle always lies outside the triangle.
A triangle can have all three angles with measures less than 60°.
The sum of the two sides of a triangle is greater than or equal to the third side.
An equilateral triangle can be a right triangle.
The length of the third side of a triangle whose two sides are 5 cm and 6 cm must be less than (i) ___ and greater than (ii) ___.
In the given figure,
(i) $\angle PQR =$ ___
(ii) $\angle PRS =$ ___
(iii) $\angle PRQ =$ ___
View full solution →(i) $\angle PQR =$ ___
(ii) $\angle PRS =$ ___
(iii) $\angle PRQ =$ ___
In the given figure,
(i) $\angle B = $ ___
(ii) $\angle C =$ ___
View full solution →(i) $\angle B = $ ___
(ii) $\angle C =$ ___
For each of the following, give at least 5 possible values for the third length so there exists a triangle having these as sidelengths (decimal values could also be chosen):
(a) 2 and 8
(b) 7 and 12
(a) 2 and 8
(b) 7 and 12
Construct triangles for the following measurements :
(a) $5 cm, 40^{\circ}$, and 8 cm
(b) $45^{\circ}, 5 cm$, and $60^{\circ}$
View full solution →(a) $5 cm, 40^{\circ}$, and 8 cm
(b) $45^{\circ}, 5 cm$, and $60^{\circ}$
For each of the following, give at least 5 possible values for the third length so there exists a triangle having these as side lengths (decimal values could also be chosen) :
(a) 4 and 10
(b) 6 and 6
(a) 4 and 10
(b) 6 and 6
Construct a triangle having the side lengths 5, 5, and 8. (all units are in cm)
Find the value of the unknown angle :
Find the third angle of a triangle when two of the angles are $45^{\circ}$ and $80^{\circ}$.
View full solution →Generate a PART - 1 CH : 7 A Tale of Three Intersecting Lines paper free
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