Question

If the legs of a right triangle are 3cm and 4cm and it's area
is k cm², then k=​

Answer 1

Answer:

k=6

Step-by-step explanation:

area=1|2×3×4

=6×1

=6

Answer 2

Given:

• Legs of a right angled ∆ is 3cm and 4cm.
• Area of the ∆ is k cm².

To Find:

• The value of k .

Answer :

Here's the figure:

$\setlength{\unitlength}{1.6cm}\begin{picture}(6,2)\linethickness{0.5mm}\put(7.7,2.9){\large\sf{A}}\put(7.7,1){\large\sf{B}}\put(10.6,1){\large\sf{C}}\put(8,1){\line(1,0){2.5}}\put(8,1){\line(0,2){1.9}}\qbezier(10.5,1)(10,1.4)(8,2.9)\put(8.7,0.7){\sf{\large{4 cm}}}\put(7.2,2){\sf{\large{3cm}}}\put(8.2,1){\line(0,1){0.2}}\put(8,1.2){\line(3,0){0.2}}\end{picture}$

Given that the measure of two sides of the ∆ is 3m and 4m in a right angled triangle.

So , one of them would be base and other height.

Now , area of ∆ is given by,

$\boxed{\red{\bf{\leadsto Area_{triangle}=\dfrac{1}{2}\times base\times height}}}$

$\sf{\implies k cm^2 = \dfrac{1}{\cancel{2cm}}\times 3cm\times\cancel{4cm}}$

$\sf{\implies k cm^{2}= 3cm\times 2cm}$

$\sf{\implies k \cancel{cm^2}=6 \cancel{cm^2}}$

${\underline{\boxed{\boxed{\red{\bf{\longmapsto k =6}}}}}}$

Hence the value of k is 6.