Answer:
(C)72.4 in
Step-by-step explanation:
Given an acute triangle in which the longest side measures 30 inches; and the other two sides are congruent.
Consider the attached diagram
AB=BC=x
However to be able to solve for x, we form a right triangle with endpoints A and C.
Since the hypotenuse is always the longest side in a right triangle
Hypotenuse, AC=30 Inches
Using Pythagoras Theorem

Therefore, the smallest possible perimeter of the triangle
Perimeter=2x+30
=2(21.21)+30
=42.42+30
=72.4 Inches (rounded to the nearest tenth)
Answer:
N=6-2
Step-by-step explanation:
When speaking the language of math, "the same as" just means equal to. On the left side of the equal sign, you have your variable, and on the right is the rest of the equation. 6 reduced by 2 is the same thing as 6-2
Answer:
m = 4√2
Step-by-step explanation:
This is a right angled isosceles triangle whose sides are in the ratio 1:1:√2.
So = 8 / √2
= 8 *√2 / 2
= 4√2
Answer:
The measure of angle CDA is 
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
In the right triangle ABF
Applying Pythagoras Theorem



In the right triangle CED


so

substitute the values

