Question

find the height of equilateral triangle whose side is 15 cm​

Answer 1

The height of an equilateral triangle is 15 cm. the area of the triangle is

A) 503–√sq. cm

B) 703–√sq. cm

C) 753–√sq. cm

D) 1503–√sq. cm

Correct Answer:

C) 753–√sq. cm

Description for Correct answer:

height of equilateral △ = 15 cm

3–√2(side)=15

side=15×23–√

area=34(side)2

=3–√4(15×23–√)2=3–√4×225×43

=753–√cm2

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Answer 2

Step-by-step explanation:

$\huge\red{ANSWER:-}$

$area = \frac{ \sqrt{3} }{4} {a}^{2} \\ \\ = \frac{ \sqrt{3} }{4} \times 15 \times 15 \\ \\ = \frac{225 \sqrt{3} }{4} \\ \\ we \: know \: the \: area \: of \: triangle \\ \\ = \frac{1}{2} \times b \times h \\ \\ \frac{225 \sqrt{3} }{4} = \frac{1}{2} \times 15 \times h \\ \\ = \frac{225 \sqrt{3} }{4} \times 2 \times \frac{1}{15} = h \\ \\ = 7.5 \sqrt{3} \: \: {cm}^{2}$