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Answer:
64
Step-by-step explanation:
Find the area of both triangles inside the bigger triangle and add them together.
Use the Pythagorean theorem to find the missing length of the leg in the smallest triangle:
a² + b² = c²
8² + b² = 10²
64 + b² = 100
36 = b²
6 = b
Calculate the area of the smaller triangle:
1/2(<em>b</em>x<em>h</em>)
1/2(6 x 8)
1/2(48)
24
Calculate the area of the bigger triangle:
<em>We know that the longer leg is 10 units because we were able to subtract the length of the smaller triangle's leg from 16.</em>
1/2(<em>b</em>x<em>h</em>)
1/2(10 x 8)
1/2(80)
40
Add both areas to find the area of the largest triangle:
40 + 24 = 64
Answer:
x = 8
Step-by-step explanation:
Firstly, create an equation or formula
- because they are congurent, IN = AT, so:
2x+10 = 26 (minus 10 from both sides)
2x = 16 (divide both sides by 2)
x = 8
Sub into the formula:
2 x 8 + 10 = 26
26 = 26
Well if you're asking for it to be in a fraction, then it's already in its simpliest form. but for a decimal, it would be 0.8833
