Question

Assertion (A) The length of three sides of triangle are 26 cm, 28 cm and 30 cm. The height corresponding to base 28 cm is 24.

Reason (R) If the base of an isosceles triangle be 6 cm and each of the equal sides be 5 cm, then its height is 6 cm.​

Answer 1

Answer:

Assertion is true but Reason is false.

Step-by-step explanation:

Find the area of the triangle using Heron's fomula

s= (26+28+30)/2 = 42

area= √s(s-a)(s-b)(s-c)

area= √ 42x16x14x12

area= √112896

area= 336sq.cm

we can also find the area by the formula- 1/2 x b x h

b= 28cm

(28xh)/2= 336

28xh= 336x2 = 672

h= 672/28

height=24.

Therefore Assertion is correct.

Find the area of the triangle using Heron's fomula

s= (6+5+5)/2 = 8

area= √s(s-a)(s-b)(s-c)

area= √ 8x2x3x3

area= √144

area= 12sq.cm

As aforementioned we can also find the area by the formula- 1/2 x b x h

b= 6cm

(6xh)/2= 12

6xh= 12x2 = 24

h= 24/6

height= 4.

Therefore Reason is incorrect