Question

find the height of an equilateral triangle whose side is 10 cm by using Pythagoras theorem​

Answer 1

Step-by-step explanation:

Step 1 draw a line from one vertex to midpoint of opposite side

step 2 now this new line(height) became perpendicular(x cm) of the right angle triangle

step 3 Apply pythagoras theore m

${x}^{2} + 5 {}^{2} = 10 {}^{2} \\ {x}^{2} = 100 - 25 \\ {x}^{2} = 75 \\ x = \sqrt{75} \\ x = 5 \sqrt{3}$

hence height of equilateral triangle is x cm = 5 sq root 3 cm