The sides of the triangle are 20 in, 48 in and 52 in
<u>Explanation:</u>
Given:
Let x be the length of smaller leg
Hypotenuse, H = x + 32
Height, h = x + 28
Length of the sides of a triangle = ?
If the triangle is a right angle triangle then we use pythagoras theorm to solve the question.
So,
(Hypotenuse)² = (height)² + (Base)²
(x + 32)² = (x + 28)² + (x)²
x² + 1024 + 64x = x² + 784 + 56x + x²
240 + 8x - x² = 0
x² - 8x - 240 = 0
Solving the quadratic equation:
x² + 12x - 20x - 240 = 0
x(x+12) - 20(x+12) = 0
(x-20) (x+12) = 0
(x-20) = 0
x = 20 in
Hypotenuse, H = x + 32
H = 20 + 32 in
H = 52 in
Height, h = x + 28
h = 20 + 28 in
h = 48 in
Therefore, the sides of the triangle are 20 in, 48 in and 52 in
Answer:
67.5 in³
Step-by-step explanation:
Given that :
Volume 1 = 540 in³
Volume 2 of similar shape = x ; if the scale factor = 1/2
Volume of a shape = length * width * height)
The scale factor = 1/2
Volumetric factor = 1/2 * 1/2 * 1/2 = 1/8
Hence, the volume of similar sculpture will be :
540 in³ * 1/8 = 67.5 in³
Answer: 283
Step-by-step explanation:
To find the median, you have to first arrange the figures in the distribution in ascending order:
210, 249, 316, 443
As this is an even distribution, the Median will be found by adding up the second and third numbers and then dividing by 2:
= (249 + 316) / 2
= 283
Answer:
10(7-4p)
Step-by-step explanation:
1 meter in cm is 100 cm so subtract 100 by 65 and that's your answer<span />