Question

If the square of the hypotenuse of an isosceles right angle is 98 sq cm find the length of each side.


[remember hypotenuse is 98 sq cm ]​

Answer 1

Artificial Intelligence has been witnessing a monumental growth in bridging the gap between the capabilities of humans and machines. Researchers and enthusiasts alike, work on numerous aspects of the field to make amazing things happen. One of many such areas is the domain of Computer Vision.

The agenda for this field is to enable machines to view the world as humans do, perceive it in a similar manner and even use the knowledge for a multitude of tasks such as Image & Video recognition, Image Analysis & Classification, Media Recreation, Recommendation Systems, Natural Language Processing, etc. The advancements in Computer Vision with Deep Learning has been constructed and perfected with time, primarily over one particular algorithm — a Convolutional Neural Network.

A Convolutional Neural Network (ConvNet/CNN) is a Deep Learning algorithm which can take in an input image, assign importance (learnable weights and biases) to various aspects/objects in the image and be able to differentiate one from the other. The pre-processing required in a ConvNet is much lower as compared to other classification algorithms. While in primitive methods filters are hand-engineered, with enough training, ConvNets have the ability to learn these filters/characteristics.

The architecture of a ConvNet is analogous to that of the connectivity pattern of Neurons in the Human Brain and was inspired by the organization of the Visual Cortex. Individual neurons respond to stimuli only in a restricted region of the visual field known as the Receptive Field. A collection of such fields overlap to cover the entire visual area.

Answer 2

$\large\sf\underline{Given}$

• Square of the hypotenuse = 98 sq. cm

$\large\sf\underline{To\:find}$

• Length of each side of isosceles triangle.

$\large\sf\underline{Solution}$

Let the side be a.

So , AB = BC = a.

Since in an isosceles triangle two sides will be equal.

We know that :

$\small{\underline{\boxed{\mathrm\purple{Hypotenuse^{2}=perpendicular^{2}+base^{2}}}}}$

$\sf\:AC^{2}=AB^{2}+BC^{2}$

$\sf\:oR\:AB^{2}+BC^{2}=AC^{2}$

$\sf⟹\:a^{2}+a^{2}=98$

$\sf⟹\:2a^{2}=98$

$\sf⟹\:a^{2}=\frac{98}{2}$

$\sf⟹\:a^{2}=49$

$\sf⟹\:a=\sqrt{49}$

$\small{\underline{\boxed{\mathrm\pink{⟹\:a=7}}}}$

• Thnku :)