Question

please solve questions number 6 please full solution​

Answer 1

Answer:

(a) 2√30 cm.

Step-by-step explanation:

Let the sides 8cm, 11cm and 13cm be a, b and c respectively.

Now,

S= (8+11+13)/2= 16

Area of triangle= √s(s-a)(s-b)(s-c)=√16(16-8)(16-11)(16-13)=√16×8×5×3 =√1920= 8√30cm²

Now,

•.• Area of triangle =1/2 × base×height

.•. Height= (Area×2)/base= (8√30 ×2)/8= 2√30cm.

Answer 2

Answer:

2√30

Step-by-step explanation:

sides of triangle = 8cm , 11cm , 13cm

Semi Perimeter = 8+11+13/2

= 16

Using heron's formula ,

Area =

$\sqrt{s \: (s - a)(s - b)(s - c)}$

=

$\sqrt{16 \: (16 - 8)(16 - 11)(16 - 13)}$

=

$\sqrt{16 \times 8 \times 5 \times 3}$

=

$\sqrt{8 \times 2 \times 8 \times 5 \times 3}$

=

$8 \sqrt{30}$

Altitude (h) ,

1/2 × b × h = 8√30

1/2 × 8 × h = 8√30

h = 2 × 8√30 ÷ 8

h = 2√30