Solution for Calculate the Height of an Equilateral Triangle Each of Whose Sides Measures 12 Cm. - CBSE Class 10 - Mathematics
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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]
2 + BD 2 = AB 2
2 + 6 2 = 12 2
2 = 144 − 36 = 108
⇒ AD = `sqrt`108 = 10.39 cm
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Solution for question: 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. For the course CBSE