Question

What is hypotenuse????​

Answer 1

PQRS is a parallelogram.

∠P = 60°

In a parallelogram, opposite angles are equal.

So, ∠P = ∠R

Measure of ∠R = 60°

We know that adjacent angles in parallelogram are supplementary, which means their sum is 180°.

Adjecent angles are ∠P and ∠S, ∠Q and ∠R.

\longrightarrow⟶ ∠P + ∠S = 180°

\longrightarrow⟶ ∠S + 60° = 180°

\longrightarrow⟶ ∠S = 180° - 60°

\longrightarrow⟶ ∠S = 120°

∠S is opposite to ∠Q,

\longrightarrow⟶ ∠S = ∠Q

\longrightarrow⟶ ∠Q = 120°

Therefore, angles of the parallelogram are :

∠P = 60°

∠Q = 120°

∠R = 60°

∠S = 120°

__________________

★ Verification:

Verifying by the angle sum property of a parallelogram.

Sum of all angles in a parallelogram is 360°.

\longrightarrow⟶ ∠P + ∠Q + ∠R + ∠S

\longrightarrow⟶ 60° + 120° + 60° + 120°

\longrightarrow⟶ 120° + 240°

\longrightarrow⟶ 360°

Hence verified.

TY

Answer 2

Step-by-step explanation:

In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle. The length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.