Calculate the Height of an Equilateral Triangle Each of Whose Sides Measures 12 Cm. - Mathematics

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Calculate the height of an equilateral triangle each of whose sides measures 12 cm.

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Solution

We have,

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

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Chapter 7: Triangles - Exercise 7.7 [Page 120]

APPEARS IN

RD Sharma Class 10 Maths
Chapter 7 Triangles
Exercise 7.7 | Q 16 | Page 120

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