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The sides of a triangle are 35 cm., 54 cm. and 61 cm. respectively the length of it's altitude is

Posted by Hrutvi Thaker 8 years, 8 months ago

CBSE > Class 09 > Mathematics

1 answers

Rashmi Bajpayee 8 years, 8 months ago

Using Heron's formula

s = (35 + 54 + 61)/2 = 75 cm

Area of trianlge = {s(s - a)(s - b)(s - c)}^1/2

= {75(75 - 35)(75 - 54)(75 - 61)}^1/2

= {75 × 40 × 21 × 14}^1/2

= 210√10 sq.cm

Now Area of triangle = 1/2 × base x altitude

210√10 = 1/2 × 35 × altitude

Altitude = 12√10 cm

1Thank You

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CBSE > Class 09 > Mathematics