1. Find the length of the unknown leg.
1 answer:
Length of the unknown leg, b is 21 and a is 10
Step-by-step explanation:
- Step 1: Given in the first figure, the hypotenuse = 29 and one leg = 20. Find b using the Pythagoras theorem.
Hypotenuse² = Sum of squares of the other two sides
29² = 20² + b²
⇒ b² = 29² - 20² = 841 - 400 = 441
∴ b = 21
- Step 2: In the second figure, Hypotenuse = 26 and one leg = 24.
Find a using the Pythagoras theorem.
Hypotenuse² = Sum of squares of the other two sides
26² = 24² + a²
⇒ a² = 26² - 24² = 676 - 576 = 100
∴ a = 10
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A =bh
Plug in values and solve for height (h).
A=3.36
b=2.8
3.36 = 2.8h
/2.8 /2.8
1.2 = h
Base and Height doubled:
b = 2.8
h = 1.2
2(2.8)=5.6
2(1.2)=2.4
Plug in new b and h to area equation given to find area:
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