Question

The side of right triangle ABC are 5 cm,12cm,13cm.find the area of the triangle​

Answer 1

Answer:

it will be solved to buy the heron's formula

Explanation:

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Answer 2

ㅤ$\;\;\underline{\textbf{\textsf{Gɪᴠᴇɴ :-}}}$

•Sides of right angle traingle = 5 cm, 12cm, 13cm

$\;\;\underline{\textbf{\textsf{ Tᴏ Fɪɴᴅ :-}}}$

•The area of the traingle

$\;\;\underline{\textbf{\textsf{Sᴏʟᴜᴛɪᴏɴ :-}}}$

Three sides are :-

• a = 5

• b = 12

• c = 13

At first, we need to find the semi-perimeter of the given triangle.

Semi perimeter,

s$= \sf{\dfrac{a + b + c}{2}}$

=$\sf{\dfrac{5 + 12 + 13}{2}}$

=$\sf{\dfrac{\cancel{30}}{\cancel{\:2\:}}}$

= $\sf 15$

$\sf Now$

Using heron's formula :-

Area = $\sf\sqrt{s(s - a)(s - b)(s - c)}$

$\sf{ \dashrightarrow \sqrt{15(15 - 5)(15 - 12)(15 - 3)} }$

$\sf{ \dashrightarrow \sqrt{15 \times 10 \times 3 \times 2} }$

$\sf{ \dashrightarrow \sqrt{900} }$

$\sf{ \dashrightarrow \underline{ \overline{ \boxed{ \green{ \bf{ \: \: 30 \: cm^2\: \:}}}}}}$

ㅤ$\;\;\underline{\textbf{\textsf{Hence -}}}$

$\underline{\textsf{ The area of the traingle is</p><p>\textbf{ 30 cm².}}}.$

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Additional Information :

• A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.

• There are basically six types of triangles. They are:

1.Scalene Triangles

2.Isosceles triangles

3.Equilateral triangles

4.Acute triangles

5.Obtuse triangles

6.Right triangles

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