Page 183 - Start Up Mathematics_7

Exemplar Problems

1. In a triangle, one angle is of 90°. Then:
(i) the other two angles are of 45° each

(ii) in remaining two angles, one angle is 90° and other is 45°
(iii) remaining two angles are complementary

In the given options which is true?
(a) (i) only (b) (ii) only (c) (iii) only (d) (i) and (ii)

2. The sides of a triangle have lengths (in cm) 10, 6.5 and a, where a is a whole number. The
minimum value that a can take is:
(a) 6 (b) 5 (c) 3 (d) 4

3. If one of the angle of a triangle is 110°, then the angle between the bisectors of the other two
angles is:
(a) 70° (b) 110° (c) 35° (d) 145°

4. Every triangle has at least ___________ acute angle(s).
5. The difference between the lengths of any two sides of a triangle is smaller than the length
of third side. (True/False)

6. Find the value of x in the given figure.

A E

80°
x
30° 90°
B
C D

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