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

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Question

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

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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APPEARS IN

 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 7: Triangles
Ex. 7.7 | Q: 16 | Page no. 120
 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 7: Triangles
Ex. 7.7 | Q: 16 | Page no. 120
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.
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