Answer: 2√313
Step-by-step explanation:
Pythagorean theorem: a²+b²=c²
c²=a²+b²
c²=24²+26²
c²=576+676
c²=1252
c=√1252
c=2√313
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Given:
The measure of three sides of a triangle are 8, 7 and 14.
To find:
The measure of the angle opposite the side of length 8.
Solution:
According to the Law of Cosine:
Let a=8, b=7 and c=14, then by using Law of Cosine, we get
Taking cos inverse on both sides.
Therefore, the measure of the angle opposite the side of length 8 is 22.6 degrees.
Answer:
let length be l
breadth=l-10m
area of rectangular park=236m²
Step-by-step explanation:
area of rectangular park=236m²
l×(l-10)=236
l²-10l-236=0
l²-2.l.5+5²-236-5²=0
(l-5)²-236-25=0
(l-5)²=261
(l-5)=√261
(l-5)=16.15
l=16.15+5=21.15
b=l-10=21.15-10=11.15
Answer:
ZB= 39°
Step-by-step explanation:
complementary angles are angles that add up to equal 90
equation: 7x + 23 + 5x + 19 = 90
add like terms: 12x + 42 = 90
subtract 42 from both sides: 12x = 48
divide both sides by 12: x = 4
plug in the value of x to the equation for ZB: 5(4) + 19
simplify: ZB= 39°
Divide $7.80 by 3
gives you $2.6
