The area of a triangle with sides 3cm, 5cm, 6cm is-

Created: 4 years ago | Updated: 2 months ago

Updated: 2 months ago

ক

$28 c m^{2}$
খ

$2 \sqrt{14} c m^{2}$
গ

$3 \sqrt{14} c m^{2}$
ঘ

$\sqrt{14} c m^{2}$

923

ব্যাখ্যাঃ

To find the area of a triangle with sides of length 3 cm, 5 cm, and 6 cm, you can use Heron's formula. Heron's formula states that the area (A) of a triangle with sides of length a, b, and c is given by:

A = √[s(s - a)(s - b)(s - c)]

Where s is the semiperimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case, the sides of the triangle are a = 3 cm, b = 5 cm, and c = 6 cm. Let's calculate the semiperimeter first:

s = (3 + 5 + 6) / 2 = 14 / 2 = 7 cm

Now, we can use Heron's formula to find the area:

A = √[7(7 - 3)(7 - 5)(7 - 6)]

A = √[7(4)(2)(1)]

A = √[7 * 4 * 2]

A = √[56]

Now, simplify the square root:

A = √[4 * 14]

A = 2√14

So, the area of the triangle with sides 3 cm, 5 cm, and 6 cm is 2√14 square centimeters.

Fahim Sarwar

3 years ago

MCQ: 36 CQ: 15

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ত্রিভুজের তিন বাহু দেওয়া থাকলে ক্ষেত্রফল

ত্রিভুজের তিন বাহু দেওয়া আছে :

মনে করি, △ABC এর BC = a, CA = b এবং AB = c । এর পরিসীমা 2s = a + b + c l AD ⊥ BC আঁকি।

ধরি, BD = x তাহলে, CD = a - x

△ABD এবং △ACD সমকোণী।

আবার,

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শিক্ষকদের জন্য বিশেষভাবে তৈরি

১ ক্লিকে প্রশ্ন, শীট, সাজেশন ও
অনলাইন পরীক্ষা তৈরির সফটওয়্যার!

শুধু প্রশ্ন সিলেক্ট করুন — প্রশ্নপত্র অটোমেটিক তৈরি!

প্রশ্ন এডিট করা যাবে

জলছাপ দেয়া যাবে

ঠিকানা যুক্ত করা যাবে

Logo, Motto যুক্ত হবে

অটো প্রতিষ্ঠানের নাম

অটো সময়, পূর্ণমান

প্রশ্ন এডিট করা যাবে

জলছাপ দেয়া যাবে

ঠিকানা যুক্ত করা যাবে

Logo, Motto যুক্ত হবে

অটো প্রতিষ্ঠানের নাম

অটো সময়, পূর্ণমান

অটো নির্দেশনা (এডিটযোগ্য)

অটো বিষয় ও অধ্যায়

OMR সংযুক্ত করা যাবে

ফন্ট, কলাম, ডিভাইডার

প্রশ্ন/অপশন স্টাইল পরিবর্তন

সেট কোড, বিষয় কোড

অটো নির্দেশনা (এডিটযোগ্য)

অটো বিষয় ও অধ্যায়

OMR সংযুক্ত করা যাবে

ফন্ট, কলাম, ডিভাইডার

প্রশ্ন/অপশন স্টাইল পরিবর্তন

সেট কোড, বিষয় কোড

এখনই শুরু করুন ডেমো দেখুন

৫০,০০০+

শিক্ষক

৩০ লক্ষ+

প্রশ্নপত্র

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The area of a triangle with sides 3cm, 5cm, 6cm is-

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