Question

.....................​

Answer 1

Answer:

13cm

Step-by-step explanation:

We know that the formula for altitude of equuilateral triangle is h=√3a/2

Where, a is the side of the triangle.

So,

h=√3×15/2

 =7.5√3

 =12.99

 =13cm (approx)

Answer 2

Step-by-step explanation:

We know the area of equilateral triangle

$\frac{ \sqrt{3} }{4} {a }^{2} \\ \\ = \frac{ \sqrt{3} }{4} \times 15 \times 15 \\ \\ = \frac{225 \sqrt{3} }{4} \\ \\ we \: know \: the \: area \: of \: triangle \\ \\ \frac{225 \sqrt{3} }{4} = \frac{1}{2} \times \: b \times h \\ \\ \frac{225 \sqrt{3} }{4} = \frac{1}{2} \times 15 \times h \\ \\ \frac{225 \sqrt{3} }{4} \times 2 \times \frac{1}{15} = h \\ \\ 7.5 \sqrt{3} = h \\ \\ put \: the \: value \: of \: \sqrt{3} \\ \\ 7.5 \times 1.73(approx) \\ \\ 12.975 \: \: \: {cm}^{2}(approx)$