Q8 What is the area in2 of a right triangle that has one 3 i

Q8. What is the area (in²) of a right triangle that has one 3 inch side, one 4 inch side, and a longer hypotenuse?
   a. 11.01
   b. 6.00
   c. 7.00
   d. 12.00

Q9. The distance from home plate to dead center field in a certain baseball stadium is 407 feet. A baseball diamond is a square with a distance from home plate to first base of 90 feet. How far is it from first base to dead center field?
   a. 349.2 ft
   b. 332.1 ft
   c. 474.9 ft
   d. 384.5 ft

Solution

Q8) We have given two side of a right triangle

The area of right triangle is (1/2)*base*height=(1/2)*3*4=6 since two side are one is base and another one is height

answer is option b.

Q9) Let home plate be A, 1st base be B, dead center field be C

Let \"a\" be the distance from 1st base to dead center field
Using Law of cosines you get:

a²=b²+c²-2bc*cosC  

Where b be the a distance from home plate to first base of 90 feet and c be The distance from home plate to dead center field in a certain baseball stadium is 407 feet

a²=(90)²+(407)²-2*90*407*cos(45)

a²=8100+165649-73260*(0.707) =121954.18

a=sqrt(121954.18)=349.2ft

first base to dead center field distance a=349.2fti

answer is option a