Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Experience the ease of finding accurate answers to your questions from a knowledgeable community of professionals. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.
Sagot :
Answer:
- Given - a right triangle with length of one side = 5 units and with hypotenuse of length = 8 units.
By applying Pythagoras theorem ,
[tex]h {}^{2} = p {}^{2} + b {}^{2} \\ (8) {}^{2} = (5) {}^{2} + b {}^{2} \\ 64 = 25 + b {}^{2} \\ b {}^{2} = 64 - 25 \\ b {}^{2} = 39 \\ b = \sqrt{39 \:} \: units[/tex]
hope helpful~
We are given that , in a right angled triangle the hypotenuse is 8 units and it's one leg is 5 units . And we need to find the another leg . So , here Pythagoras theorem will be very helpful for us which states that in any Right Triangle , the sum of square of it's two sides ( base and perpendicular or two legs ) is equal to the square of it's largest side ( Hypotenuse )
Now , let's assume that the other leg be x , so now by Pythagoras theorem ;
[tex]{:\implies \quad \sf x^{2}+5^{2}=8^{2}}[/tex]
[tex]{:\implies \quad \sf x^{2}+25=64}[/tex]
[tex]{:\implies \quad \sf x^{2}=64-25}[/tex]
[tex]{:\implies \quad \sf x^{2}=39}[/tex]
Raising power to ½ on both sides will leave us with x = +√39 , -√39. But as length can never be -ve
[tex]{:\implies \quad \bf \therefore \underline{\underline{x=\sqrt{39}\:\: units}}}[/tex]
Hence , the another leg of the right angled triangle is √39 units
We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.
