Question

please tell me the answer quickly i know theanswer but don't know the solution the answer is 1386cm²​

Answer 1

✬ The area of given triangle is 1386cm² ✬

Step-by-step explanation:

Given: The height of right angled triangle is 36 cm and hypotenuse is 85 cm.

To find: Area of right angled triangle

Required Formula:

• Area of given triangle = 1/2 × base × height

Solution:

Using Pythagoras theorem,

• Hypotenuse² = base² + height²

Here,

• Hypotenuse = 85 cm
• Height = 36 cm
• Base = b

Then,

$\\ :\implies\sf{(85)^{2}= b^2 + (36)^2} \\ \\ :\implies\sf{7225 = {b}^{2} + 1296} \\ \\ :\implies\sf{7225 - 1296 = {b}^{2} } \\ \\ :\implies\sf{5929 = {b}^{2} } \\ \\ :\implies\sf{b = \sqrt{5929} } \\ \\ :\implies \underline{\boxed{\mathfrak{b = 77}}} \: \blue{ \bigstar}$

Therefore, finding the area of given triangle;

Where,

• Area of given triangle = A
• Base = 77 cm
• Height = 36 cm

$\\ :\implies\sf{A = \frac{1}{ \cancel{2}}\times 77 \times \cancel{36}} \\ \\ :\implies\sf{A =77 \times 18} \\ \\ :\implies \underline{ \boxed{\mathfrak{A =1386 \: {cm}^{2}}}} \: \green{ \bigstar}$

• Hence,The area of given triangle is 1386 cm².

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