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The Altitude on Hypotenuse Theorem

Condition for...

Question

Condition for an acute-angled triangle with sides a, b, and c is $a^{2} + b^{2} > c^{2}$ (where c is the longest side).
What is the difference between the maximum and minimum value of integer ‘y’, in an acute-angled triangle with sides 7 cm, 12 cm, and y cm?

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Solution

The correct option is C 3

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Similar questions

a

b

c

a^{2} + b^{2} > c^{2}

c

y

7 c m

12 c m

y c m

Question 7

Lengths of sides of a triangle are 3 cm, 4 cm and 5 cm. The triangle is

a) Obtuse-angled triangle
b) Acute angled triangle
c) Right angled triangle
d) An isosceles right triangle.

The side opposite to acute angles of a right angled triangle are 7 cm and 24 cm, the side opposite to right angle is

14 c m

18 c m

20 c m

θ

a

b

c

A

B

C

\frac{sin A}{a} = \frac{sin B}{b} = \frac{sin C}{c}

c^{2} = a^{2} + b^{2} - 2 a b cos C

a

b

c

a^{2} + b^{2} = c^{2}

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