Question

10.Find the algebraic expression of area of triangle if Base is x and height is y and find the value if x=5 and y=4​

Answer 1

Step-by-step explanation:

Unit-10 Algebraic Expressions.pmd - ncert

— Example 11: Twice the sum of length x breadth y of a ... The subtraction of 5 times of y from x is ... The value of 3x2 – 5x + 3 when x = 1

Answer 2

Correct Question -:

• .Find the algebraic expression of area of triangle if Base is x and height is y and find the value if x=5 and y=4 .

AnswEr -:

• $\underline{\boxed{\star{\sf{\blue{ Algebraic \: Expression\: for \: Area\:of\:Triangle=\frac{1}{2}× x × y}}}}}$
• $\underline{\boxed{\star{\sf{\blue{ Area\:of\:Triangle=10\:unit²}}}}}$

Explanation -:

$\frak{Given \:-:}\begin{cases} \sf{If \:Base \:of\: Triangle \:is\: x \:and \:height \:is\: y\: .} & \\\\ \sf{If \:x\:=\:5 \:and\: y\:=\:4\: .} \end{cases}$

$\frak{To\:Find \:-:}\begin{cases} \sf{Find\: the \:algebraic \:expression \:If \:Base \:of\: Triangle \:is\: x \:and \:height \:is\: y\: .} & \\\\ \sf{\:Find \:the \:value\:If \:x\:=\:5 \:and\: y\:=\:4\: .} \end{cases}$

Now ,

• $\underline{\boxed{\star{\sf{\blue{ Area \:of\:Triangle\:=\: \frac{1}{2}× Base × Height}}}}}$

$\frak{Here \:-:}\begin{cases} \sf{ \:Base \:of\: Triangle \:is\: x \: .} & \\\\ \sf{\:Height \:is\: y\: .} \end{cases}$

Now ,

• $\implies{\sf{\large {Area_{(Triangle)} = \frac{1}{2} × x × y}}}$

Therefore,

• $\underline{\boxed{\star{\sf{\blue{ Algebraic \: Expression\: for \: Area\:of\:Triangle=\frac{1}{2}× x × y}}}}}$

Now ,

By Substituting given value in that Expression -:

• $\implies{\sf{\large {Expression \: =Area_{(Triangle)} = \frac{1}{2} × x × y}}}$

$\frak{Given \:That\:Here\:-:}\begin{cases} \sf{x = 5 .} & \\\\ \sf{\:y =4\: .} \end{cases}$

Now ,

• $\implies{\sf{\large {Area_{(Triangle)} = \frac{1}{2} × 5 × 4}}}$
• $\implies{\sf{\large {Area_{(Triangle)} = 2×5}}}$
• $\implies{\sf{\large {Area_{(Triangle)} = 10\:Unit²}}}$

Therefore,

• $\underline{\boxed{\star{\sf{\blue{ Area\:of\:Triangle=10\:unit²}}}}}$

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Hence ,

• $\underline{\boxed{\star{\sf{\blue{ Algebraic \: Expression\: for \: Area\:of\:Triangle=\frac{1}{2}× x × y}}}}}$
• $\underline{\boxed{\star{\sf{\blue{ Area\:of\:Triangle=10\:unit²}}}}}$

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