Solution for Calculate the Height of an Equilateral Triangle Each of Whose Sides Measures 12 Cm. - CBSE Class 10 - Mathematics
why create a profile on shaalaa.com?
1. Inform you about time table of exam.
2. Inform you about new question papers.
3. New video tutorials information.
Calculate the height of an equilateral triangle each of whose sides measures 12 cm.
ΔABC is an equilateral Δ with side 12 cm.
Draw AE ⊥ BC
In ΔABD and ΔACD
∠ADB = ∠ADC [Each 90°]
AB = AC [Each 12 cm]
AD = AD [Common]
Then, ΔABD ≅ ΔACD [By RHS condition]
∴ AD2 + BD2 = AB2
⇒ AD2 + 62 = 122
⇒ AD2 = 144 − 36 = 108
⇒ AD = `sqrt`108 = 10.39 cm
Is there an error in this question or solution?
Solution Calculate the Height of an Equilateral Triangle Each of Whose Sides Measures 12 Cm. Concept: Application of Pythagoras Theorem in Acute Angle and Obtuse Angle.