Mishra Maths Tricks
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🔷 Triangle Ratio Trick | SSC CGL Geometry Shortcut

Many students struggle with triangle questions because they rely only on formulas…
But smart learners use ratios to solve instantly.
🔹 30°–60°–90° Triangle Trick
👉 The sides are always in the ratio:
1 : √3 : 2
Opposite 30° → smallest side
Opposite 60° → √3 times
Hypotenuse → double of smallest side
🔶 Quick Example:
If hypotenuse = 10 cm
👉 Smallest side = 5 cm
👉 Other side = 5√3 cm
(No lengthy calculation needed!)
🔶 Reverse Trick:
If smallest side = 7
👉 Hypotenuse = 14
👉 Other side = 7√3
🎯 Why This Matters?
In exams like SSC CGL, saving even 10–15 seconds per question can boost your rank significantly.
💡 Key Takeaway:
👉 Don’t calculate everything
👉 Recognize the pattern and solve faster
📌 Follow for more Maths shortcuts & tricks
📍 Mishra Maths Tricks
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Find the ratio of sides of a triangle with angles 30°, 60°, 90° ??
Anonymous Quiz
44%
1 : √3 : 2
36%
1 : √1 : 2
21%
1 : √2 : 3
👍1
In a right triangle, one angle is 30° and hypotenuse = 20 cm. Find the smallest side ??
Anonymous Quiz
45%
10 cm
28%
11 cm
24%
12 cm
2%
14 cm
👍1
One angle = 30°, smallest side = 8 cm. Find hypotenuse ??
Anonymous Quiz
15%
15 cm
48%
16 cm
24%
17 cm
13%
18 cm
👍1
In a triangle, one angle is 30° and the side opposite 60° is 12√3 cm. Find hypotenuse ??
Anonymous Quiz
7%
22 cm
30%
23 cm
54%
24 cm
9%
25 cm
👍1
A pole is fixed with a wire making 30° with ground. If wire length = 20 m, find height of pole ??
Anonymous Quiz
7%
7 cm
28%
8 cm
24%
9 cm
40%
10 cm
1👍1
Angle देखो, ratio लगाओ, answer पाओ!”
👉 “Smart work > Hard work in SSC”
जब भी 30° दिखे:
Direct ratio सोचो, equation कम बनाओ
Equation बनाओ मत, pattern पहचानो!”
👉 “Geometry में speed का secret = ratio thinking”
1🔥1
🔥2
2/25 = ??
Anonymous Quiz
15%
4%
19%
6%
66%
8%
👍1
13/20 = ?
Anonymous Quiz
10%
55%
82%
65%
8%
75%
👍1
47/50 = ?
Anonymous Quiz
67%
94%
25%
96%
8%
98%
👍2
23/50 = ?
Anonymous Quiz
7%
45%
85%
46%
8%
48%
👍2
7/20 = ??
Anonymous Quiz
76%
35%
21%
45%
3%
55%
👍2👏1
tan45° × sec60° = ?
Anonymous Quiz
7%
0
46%
1
42%
2
5%
3
👍1
cos0° × sec0° = ?
Anonymous Quiz
29%
0
51%
1
18%
2
3%
3
👍1
sin30° × cos60° = ?
Anonymous Quiz
4%
0
20%
1
46%
1/2
30%
1/4
👍1
tan60° × cot30° = ??
Anonymous Quiz
11%
0
41%
1
22%
2
26%
3
👍2
1 + tan²45° = ??
Anonymous Quiz
9%
0
34%
1
53%
2
4%
3
👍1
🔥1
1🔥1