Respuesta :
Answer:
Step-by-step explanation:
To find the other side of the right triangle, given that one side containing the right angle is 14 cm and the area of the triangle is 77 cm², we can use the formula for the area of a triangle:
Area of a triangle = 0.5 * base * height
Since the triangle is a right triangle, one side containing the right angle is the base, and the other side is the height. Given that the area is 77 cm² and one side (base) is 14 cm, we can substitute these values into the formula:
77 = 0.5 * 14 * height
Now, we can solve for the height (the other side):
77 = 7 * height
height = 77 / 7
height = 11 cm
Therefore, the other side of the right triangle is 11 cm.
Answer:
11 cm
Step-by-step explanation:
To find the length of the other side of the right triangle, we can use the formula for the area of a triangle:
[tex]\boxed{\begin{array}{l}\underline{\textsf{Area of a triangle}}\\\\A=\dfrac{1}{2}bh\\\\\textsf{where:}\\\phantom{ww}\bullet\; \textsf{$A$ is the area.}\\ \phantom{ww}\bullet\;\textsf{$b$ is the base.}\\ \phantom{ww}\bullet\;\textsf{$h$ is the height.}\end{array}}[/tex]
In a right triangle, one side containing the right angle is the base, and the other side is the height.
In this case, one of the sides containing the right angle is given as 14 cm, which we can consider as the base (b). The area is given as 77 cm².
Substitute b = 14 and A = 77 into the area formula, and solve for h:
[tex]\dfrac{1}{2} \times 14 \times h=77\\\\\\7h=77\\\\\\\dfrac{7h}{7}=\dfrac{77}{7}\\\\\\h=11\; \sf cm[/tex]
So, the length of the other side (the height) of the right triangle is:
[tex]\LARGE\boxed{\boxed{11\;\sf cm}}[/tex]
