Please refer to Triangles HOTs Class 10 Mathematics provided below with Triangles. All HOTs for Class 10 Mathematics with answers provided below have been designed as per the latest syllabus and examination petter issued by CBSE, NCERT, KVS. Students of Standard 10 Mathematics should learn the solved HOTS for Class 10 Mathematics provided below to gain better marks in examinations.
Triangles Class 10 Mathematics HOTs
Questions of 1 Mark
Question. Evaluate: cos 60°cos 45° – sin60° sin 45°.
Answer
![](https://worksheetsbag.com/wp-content/uploads/2022/07/image-20.png)
Question. If θ = 45°, find the value of sec² θ.
Answer
2
Question. If θ is a positive acute angle such that sec θ = cosec60°, then find the value of 2 cos² θ-1.
Answer
1/4
Question. Find the value of
tan15°.tan25°.tan30°.tan65°.tan85°
Answer
![](https://worksheetsbag.com/wp-content/uploads/2022/07/image-21.png)
Question. Can cos θ = 5/4 be possible?
Answer
No
Question. Find the value of sin65° – cos25° without using tables.
Answer
0
Question. Find the value of 9 sec² A – 9 tan²A.
Answer
-9
Question. If 2 sin X/2 – 1 = 0, find the value of x.
Answer
900
Question. If sec 5A = cosec(A – 36°), find the value of A.
Answer
210
Questions of 2 Mark
Question. If 5 tan θ – 4 = θ, then find the value of
![](https://worksheetsbag.com/wp-content/uploads/2022/07/image-18.png)
Answer
![](https://worksheetsbag.com/wp-content/uploads/2022/07/image-22.png)
Question. From the figure find the value of sin x and cos y.
![HOTs Triangles 10 Mathematics](https://worksheetsbag.com/wp-content/uploads/2022/07/image-17.png)
Answer
sinx = 4/5
Question. If ∠XAC = 45°, find the value of x and y in the figure
![HOTs Triangles 10 Mathematics](https://worksheetsbag.com/wp-content/uploads/2022/07/image-19.png)
Answer
x = 20 √2cm
y = 20 m
Question. In fig, if A= CDE, AB=9cm, AD=7cm, CD=8cm, CE = 10cm. Find DE if Δ CAB U CED
![HOTs Triangles 10 Mathematics](https://worksheetsbag.com/wp-content/uploads/2022/07/image-53.png)
Answer
6 cm
Question. ΔADE ˜ Δ ABC , if DE=4cm, BC=8cm and ar(ΔADE)=25sq cm. Find the area of ΔABC.
Answer
100
Question. Find ‘y’ if ΔABC U Δ PQR
![HOTs Triangles 10 Mathematics](https://worksheetsbag.com/wp-content/uploads/2022/07/image-54.png)
Answer
2.5
Question. If ar ΔABC = 1/4 ar ΔDEF Find AB/DE
Answer
1/2
Question.
![HOTs Triangles 10 Mathematics](https://worksheetsbag.com/wp-content/uploads/2022/07/image-55.png)
Write symbolic representation for above similarity.
Answer
ΔABC U ΔRQP
Question. ΔABC is a right triangle, right angled at ∠ B, BD ⊥ AC then ΔADB _____________
![HOTs Triangles 10 Mathematics](https://worksheetsbag.com/wp-content/uploads/2022/07/image-57.png)
Answer
ΔABC
Question. Find AE/CE if D is mid point of AB and DE||BC
![HOTs Triangles 10 Mathematics](https://worksheetsbag.com/wp-content/uploads/2022/07/image-56.png)
Answer
1
Question. In fig ∠B = 900, if AB2 + BC2 + CD2 = AD2 Find ∠ ACD.
![HOTs Triangles 10 Mathematics](https://worksheetsbag.com/wp-content/uploads/2022/07/image-58.png)
Answer
90o
Question. In ΔABC, if 2AB2=AC2, Find ∠ B.
Answer
90o