ΔABC is a right isosceles triangle with C at the right angle. If BC=7x-671 and AC=3x-279, find the perimeter of the triangle. Show work and answer.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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Hello, these are old review questions I need help with in order to study for my final, it is 8/9th geo btw. Please show the answer and work for each! Read carefully. Thanks! THEY ARE NOT GRADED!!!

 

Question 5: ΔABC is a right isosceles triangle with C at the right angle. If BC=7x-671 and AC=3x-279, find the perimeter of the triangle. Show work and answer.

Question 6: ΔABC, AC=x-8, BC=6x-108, and m<C=90 degrees. Find the values of x that make's ΔABC a right isosceles triangle.

Question 7; In ΔABC, the ratio of AB:BC:CA= 1:2:√3. Find the measure of angle A. Show your answer and work.

Question 8: A baseball diamond is in the shape of a square, the distance between consecutive bases being 90 feet. The second baseman wants to make an out at the home plate. How far must he throw the ball? Show your answer and work.

Question 9: A right triangle is inscribed in a circle with radius 4, What is the perimeter of the triangle if the length of the hypotenuse is twice as long as the shortest leg?

Question 10: What is the length of the two legs o a 30,60,90 right triangle if the length of the hypotenuse is 225

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