Answer:
All units for volume are units cubed. units^3
C^2= a^2 + b^2 a=b
34^2= a^2 + a^2
1156=2a^2
a^2=1156/2
a^2=578
a=24.04
The side length is 24.04
Or I got this also
Using the special triangle theorem , an isosceles triangle has a diagonal equal to the square root of 2 of the legs of the triangle. In this case, the length of the legs is 34/ sqrt of 2 or equal to 24.04 units . This rule is based on the Pythagorean theorem
If the length of each side = x.
By Pythagoras' Theorem:
x² + x² = 34²
2x² = 34²
x² = 34² / 2
x² = 578
x = √578
<span>x ≈ 24.04 inches
hope this helps
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B. addition and subtraction
Answer:
59.04°
58.31 inches
Step-by-step explanation:
The solution triangle is attached below :
Since we have a right angled triangle, we can apply trigonometry to obtain the angle ladder makes with the ground;
Let the angle = θ
Tanθ = opposite / Adjacent
Tanθ = 50/30
θ = tan^-1(50/30)
θ = 59.036°
θ = 59.04°
The length of ladder can be obtained using Pythagoras :
Length of ladder is the hypotenus :
Hence,
Hypotenus = √(adjacent² + opposite²)
Hypotenus = √(50² + 30²)
Hypotenus = √(2500 + 900)
Hypotenus = 58.309
Length of ladder = 58.31 inches