Question

Exercise 11.7
1. In a triangle ABC, B = 28° and C = 56° Find the largest and the
smallest sides.
2. In a triangle ABC, we have AB = 4cm. BC = 5.6cm and CA = 76cm.
Write the angles of the triangle in ascending order of measures.
3. Let ABC be a triangle such that B = 70° and ZC = 40°. Suppose Dis
a point on BC such that AB = AD. Prove that ABCD.
4. Let ABCD be a quadrilateral in which AD is the largest side and BC
is the smallest side. Prove that ZA< ZC.(Hint: Join AC)
5. Let ABC be a triangle and P be an interior point. Prove that
AB + BC + CA<2 (PA + PB + PC).​

Answer 1

Answer:

1.

given,

B = 28°. C = 56°

As we know that sum of all angles of triangle is 180°.

A + B + C = 180°

A + 28 + 56 = 180°

A = 180 - 84

A = 96

Largest side = BC

smallest side = AC Ans.